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Finding the Fourth Proportional to 533,864.06, 736,618.46 and 316,141.13

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Solution

The fourth proportional to 533,864.06, 736,618.46 and 316,141.13 is: 436,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,864.06 : 736,618.46 = 316,141.13 : x
  2. Step 2: Convert to fraction form
    533,864.06/736,618.46 = 316,141.13/x
  3. Step 3: Cross multiply
    533,864.06x = 736,618.46 × 316,141.13
  4. Step 4: Simplify right side
    533,864.06x = 232,875,387,059.46
  5. Step 5: Solve for x
    x = 232,875,387,059.46/533,864.06
  6. Step 6: Final answer
    x = 436,207.28

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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.