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Finding the Fourth Proportional to 417,316.56, 625,981.32 and 101,779.44

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Solution

The fourth proportional to 417,316.56, 625,981.32 and 101,779.44 is: 152,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,316.56 : 625,981.32 = 101,779.44 : x
  2. Step 2: Convert to fraction form
    417,316.56/625,981.32 = 101,779.44/x
  3. Step 3: Cross multiply
    417,316.56x = 625,981.32 × 101,779.44
  4. Step 4: Simplify right side
    417,316.56x = 63,712,028,200.06
  5. Step 5: Solve for x
    x = 63,712,028,200.06/417,316.56
  6. Step 6: Final answer
    x = 152,670.74

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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.