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Finding the Fourth Proportional to 429,064.48, 643,564.32 and 176,276.08

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Solution

The fourth proportional to 429,064.48, 643,564.32 and 176,276.08 is: 264,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,064.48 : 643,564.32 = 176,276.08 : x
  2. Step 2: Convert to fraction form
    429,064.48/643,564.32 = 176,276.08/x
  3. Step 3: Cross multiply
    429,064.48x = 643,564.32 × 176,276.08
  4. Step 4: Simplify right side
    429,064.48x = 113,444,995,557.47
  5. Step 5: Solve for x
    x = 113,444,995,557.47/429,064.48
  6. Step 6: Final answer
    x = 264,400.81

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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.