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Finding the Fourth Proportional to 478,214.88, 717,155.46 and 141,166.32

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Solution

The fourth proportional to 478,214.88, 717,155.46 and 141,166.32 is: 211,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,214.88 : 717,155.46 = 141,166.32 : x
  2. Step 2: Convert to fraction form
    478,214.88/717,155.46 = 141,166.32/x
  3. Step 3: Cross multiply
    478,214.88x = 717,155.46 × 141,166.32
  4. Step 4: Simplify right side
    478,214.88x = 101,238,197,156.11
  5. Step 5: Solve for x
    x = 101,238,197,156.11/478,214.88
  6. Step 6: Final answer
    x = 211,700.22

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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.