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Finding the Fourth Proportional to 472,897.24, 652,410.72 and 291,294.23

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Solution

The fourth proportional to 472,897.24, 652,410.72 and 291,294.23 is: 401,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,897.24 : 652,410.72 = 291,294.23 : x
  2. Step 2: Convert to fraction form
    472,897.24/652,410.72 = 291,294.23/x
  3. Step 3: Cross multiply
    472,897.24x = 652,410.72 × 291,294.23
  4. Step 4: Simplify right side
    472,897.24x = 190,043,475,064.09
  5. Step 5: Solve for x
    x = 190,043,475,064.09/472,897.24
  6. Step 6: Final answer
    x = 401,870.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.