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Finding the Fourth Proportional to 323,031, 484,565.94 and 101,415

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Solution

The fourth proportional to 323,031, 484,565.94 and 101,415 is: 152,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,031 : 484,565.94 = 101,415 : x
  2. Step 2: Convert to fraction form
    323,031/484,565.94 = 101,415/x
  3. Step 3: Cross multiply
    323,031x = 484,565.94 × 101,415
  4. Step 4: Simplify right side
    323,031x = 49,142,254,805.10
  5. Step 5: Solve for x
    x = 49,142,254,805.10/323,031
  6. Step 6: Final answer
    x = 152,128.60

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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.