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Finding the Fourth Proportional to 506,734.70, 760,102.05 and 465,400.40

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Solution

The fourth proportional to 506,734.70, 760,102.05 and 465,400.40 is: 698,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,734.70 : 760,102.05 = 465,400.40 : x
  2. Step 2: Convert to fraction form
    506,734.70/760,102.05 = 465,400.40/x
  3. Step 3: Cross multiply
    506,734.70x = 760,102.05 × 465,400.40
  4. Step 4: Simplify right side
    506,734.70x = 353,751,798,110.82
  5. Step 5: Solve for x
    x = 353,751,798,110.82/506,734.70
  6. Step 6: Final answer
    x = 698,100.60

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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.