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Finding the Fourth Proportional to 437,971.46, 656,956.10 and 105,547.46

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Solution

The fourth proportional to 437,971.46, 656,956.10 and 105,547.46 is: 158,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,971.46 : 656,956.10 = 105,547.46 : x
  2. Step 2: Convert to fraction form
    437,971.46/656,956.10 = 105,547.46/x
  3. Step 3: Cross multiply
    437,971.46x = 656,956.10 × 105,547.46
  4. Step 4: Simplify right side
    437,971.46x = 69,340,044,665.59
  5. Step 5: Solve for x
    x = 69,340,044,665.59/437,971.46
  6. Step 6: Final answer
    x = 158,320.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.