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Finding the Fourth Proportional to 473,264.32, 653,795.67 and 409,491.40

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Solution

The fourth proportional to 473,264.32, 653,795.67 and 409,491.40 is: 565,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,264.32 : 653,795.67 = 409,491.40 : x
  2. Step 2: Convert to fraction form
    473,264.32/653,795.67 = 409,491.40/x
  3. Step 3: Cross multiply
    473,264.32x = 653,795.67 × 409,491.40
  4. Step 4: Simplify right side
    473,264.32x = 267,723,704,222.24
  5. Step 5: Solve for x
    x = 267,723,704,222.24/473,264.32
  6. Step 6: Final answer
    x = 565,695.94

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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.