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Finding the Fourth Proportional to 417,000.76, 625,501.14 and 101,454.93

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Solution

The fourth proportional to 417,000.76, 625,501.14 and 101,454.93 is: 152,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,000.76 : 625,501.14 = 101,454.93 : x
  2. Step 2: Convert to fraction form
    417,000.76/625,501.14 = 101,454.93/x
  3. Step 3: Cross multiply
    417,000.76x = 625,501.14 × 101,454.93
  4. Step 4: Simplify right side
    417,000.76x = 63,460,173,993.16
  5. Step 5: Solve for x
    x = 63,460,173,993.16/417,000.76
  6. Step 6: Final answer
    x = 152,182.40

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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.