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Finding the Fourth Proportional to 314,248.69, 471,562.16 and 114,586.12

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Solution

The fourth proportional to 314,248.69, 471,562.16 and 114,586.12 is: 171,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,248.69 : 471,562.16 = 114,586.12 : x
  2. Step 2: Convert to fraction form
    314,248.69/471,562.16 = 114,586.12/x
  3. Step 3: Cross multiply
    314,248.69x = 471,562.16 × 114,586.12
  4. Step 4: Simplify right side
    314,248.69x = 54,034,478,253.22
  5. Step 5: Solve for x
    x = 54,034,478,253.22/314,248.69
  6. Step 6: Final answer
    x = 171,948.14

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1.5x scale

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.