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Finding the Fourth Proportional to 473,086.72, 653,004.40 and 291,855.04

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Solution

The fourth proportional to 473,086.72, 653,004.40 and 291,855.04 is: 402,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,086.72 : 653,004.40 = 291,855.04 : x
  2. Step 2: Convert to fraction form
    473,086.72/653,004.40 = 291,855.04/x
  3. Step 3: Cross multiply
    473,086.72x = 653,004.40 × 291,855.04
  4. Step 4: Simplify right side
    473,086.72x = 190,582,625,282.18
  5. Step 5: Solve for x
    x = 190,582,625,282.18/473,086.72
  6. Step 6: Final answer
    x = 402,849.24

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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.