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Finding the Fourth Proportional to 569,154.24, 785,364.48 and 314,470.56

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Solution

The fourth proportional to 569,154.24, 785,364.48 and 314,470.56 is: 433,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,154.24 : 785,364.48 = 314,470.56 : x
  2. Step 2: Convert to fraction form
    569,154.24/785,364.48 = 314,470.56/x
  3. Step 3: Cross multiply
    569,154.24x = 785,364.48 × 314,470.56
  4. Step 4: Simplify right side
    569,154.24x = 246,974,007,829.71
  5. Step 5: Solve for x
    x = 246,974,007,829.71/569,154.24
  6. Step 6: Final answer
    x = 433,931.60

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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.