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Finding the Fourth Proportional to 465,000.04, 641,892.90 and 314,301.16

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Solution

The fourth proportional to 465,000.04, 641,892.90 and 314,301.16 is: 433,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,000.04 : 641,892.90 = 314,301.16 : x
  2. Step 2: Convert to fraction form
    465,000.04/641,892.90 = 314,301.16/x
  3. Step 3: Cross multiply
    465,000.04x = 641,892.90 × 314,301.16
  4. Step 4: Simplify right side
    465,000.04x = 201,747,683,065.76
  5. Step 5: Solve for x
    x = 201,747,683,065.76/465,000.04
  6. Step 6: Final answer
    x = 433,865.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.