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Finding the Fourth Proportional to 415,314.64, 623,023.86 and 162,562.51

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Solution

The fourth proportional to 415,314.64, 623,023.86 and 162,562.51 is: 243,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,314.64 : 623,023.86 = 162,562.51 : x
  2. Step 2: Convert to fraction form
    415,314.64/623,023.86 = 162,562.51/x
  3. Step 3: Cross multiply
    415,314.64x = 623,023.86 × 162,562.51
  4. Step 4: Simplify right side
    415,314.64x = 101,280,319,356.37
  5. Step 5: Solve for x
    x = 101,280,319,356.37/415,314.64
  6. Step 6: Final answer
    x = 243,864.08

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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.