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Finding the Fourth Proportional to 714,744.13, 986,346.90 and 412,938.13

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Solution

The fourth proportional to 714,744.13, 986,346.90 and 412,938.13 is: 569,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,744.13 : 986,346.90 = 412,938.13 : x
  2. Step 2: Convert to fraction form
    714,744.13/986,346.90 = 412,938.13/x
  3. Step 3: Cross multiply
    714,744.13x = 986,346.90 × 412,938.13
  4. Step 4: Simplify right side
    714,744.13x = 407,300,244,417.30
  5. Step 5: Solve for x
    x = 407,300,244,417.30/714,744.13
  6. Step 6: Final answer
    x = 569,854.62

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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.