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Finding the Fourth Proportional to 506,735.70, 760,103.55 and 465,401.40

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Solution

The fourth proportional to 506,735.70, 760,103.55 and 465,401.40 is: 698,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,735.70 : 760,103.55 = 465,401.40 : x
  2. Step 2: Convert to fraction form
    506,735.70/760,103.55 = 465,401.40/x
  3. Step 3: Cross multiply
    506,735.70x = 760,103.55 × 465,401.40
  4. Step 4: Simplify right side
    506,735.70x = 353,753,256,314.97
  5. Step 5: Solve for x
    x = 353,753,256,314.97/506,735.70
  6. Step 6: Final answer
    x = 698,102.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.