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Finding the Fourth Proportional to 284,483.60, 392,581.72 and 157,158

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Solution

The fourth proportional to 284,483.60, 392,581.72 and 157,158 is: 216,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,483.60 : 392,581.72 = 157,158 : x
  2. Step 2: Convert to fraction form
    284,483.60/392,581.72 = 157,158/x
  3. Step 3: Cross multiply
    284,483.60x = 392,581.72 × 157,158
  4. Step 4: Simplify right side
    284,483.60x = 61,697,357,951.76
  5. Step 5: Solve for x
    x = 61,697,357,951.76/284,483.60
  6. Step 6: Final answer
    x = 216,874.92

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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.