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Finding the Fourth Proportional to 472,534.84, 652,387.16 and 291,494.16

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Solution

The fourth proportional to 472,534.84, 652,387.16 and 291,494.16 is: 402,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,534.84 : 652,387.16 = 291,494.16 : x
  2. Step 2: Convert to fraction form
    472,534.84/652,387.16 = 291,494.16/x
  3. Step 3: Cross multiply
    472,534.84x = 652,387.16 × 291,494.16
  4. Step 4: Simplify right side
    472,534.84x = 190,167,047,198.99
  5. Step 5: Solve for x
    x = 190,167,047,198.99/472,534.84
  6. Step 6: Final answer
    x = 402,440.27

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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.