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Finding the Fourth Proportional to 472,026.84, 707,887.14 and 156,399

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Solution

The fourth proportional to 472,026.84, 707,887.14 and 156,399 is: 234,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,026.84 : 707,887.14 = 156,399 : x
  2. Step 2: Convert to fraction form
    472,026.84/707,887.14 = 156,399/x
  3. Step 3: Cross multiply
    472,026.84x = 707,887.14 × 156,399
  4. Step 4: Simplify right side
    472,026.84x = 110,712,840,808.86
  5. Step 5: Solve for x
    x = 110,712,840,808.86/472,026.84
  6. Step 6: Final answer
    x = 234,547.77

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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.