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Finding the Fourth Proportional to 291,618, 402,432.86 and 157,482

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Solution

The fourth proportional to 291,618, 402,432.86 and 157,482 is: 217,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,618 : 402,432.86 = 157,482 : x
  2. Step 2: Convert to fraction form
    291,618/402,432.86 = 157,482/x
  3. Step 3: Cross multiply
    291,618x = 402,432.86 × 157,482
  4. Step 4: Simplify right side
    291,618x = 63,375,931,658.52
  5. Step 5: Solve for x
    x = 63,375,931,658.52/291,618
  6. Step 6: Final answer
    x = 217,325.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.