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Finding the Fourth Proportional to 473,265.57, 653,797.40 and 409,492.65

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Solution

The fourth proportional to 473,265.57, 653,797.40 and 409,492.65 is: 565,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,265.57 : 653,797.40 = 409,492.65 : x
  2. Step 2: Convert to fraction form
    473,265.57/653,797.40 = 409,492.65/x
  3. Step 3: Cross multiply
    473,265.57x = 653,797.40 × 409,492.65
  4. Step 4: Simplify right side
    473,265.57x = 267,725,227,841.65
  5. Step 5: Solve for x
    x = 267,725,227,841.65/473,265.57
  6. Step 6: Final answer
    x = 565,697.66

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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.