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Finding the Fourth Proportional to 581,750.98, 802,154.46 and 409,613.92

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Solution

The fourth proportional to 581,750.98, 802,154.46 and 409,613.92 is: 564,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,750.98 : 802,154.46 = 409,613.92 : x
  2. Step 2: Convert to fraction form
    581,750.98/802,154.46 = 409,613.92/x
  3. Step 3: Cross multiply
    581,750.98x = 802,154.46 × 409,613.92
  4. Step 4: Simplify right side
    581,750.98x = 328,573,632,806.08
  5. Step 5: Solve for x
    x = 328,573,632,806.08/581,750.98
  6. Step 6: Final answer
    x = 564,801.17

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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.