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Finding the Fourth Proportional to 473,686.98, 653,688.21 and 255,895.74

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Solution

The fourth proportional to 473,686.98, 653,688.21 and 255,895.74 is: 353,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,686.98 : 653,688.21 = 255,895.74 : x
  2. Step 2: Convert to fraction form
    473,686.98/653,688.21 = 255,895.74/x
  3. Step 3: Cross multiply
    473,686.98x = 653,688.21 × 255,895.74
  4. Step 4: Simplify right side
    473,686.98x = 167,276,028,227.23
  5. Step 5: Solve for x
    x = 167,276,028,227.23/473,686.98
  6. Step 6: Final answer
    x = 353,136.22

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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.