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Finding the Fourth Proportional to 473,674.68, 653,675.66 and 258,814.74

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Solution

The fourth proportional to 473,674.68, 653,675.66 and 258,814.74 is: 357,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,674.68 : 653,675.66 = 258,814.74 : x
  2. Step 2: Convert to fraction form
    473,674.68/653,675.66 = 258,814.74/x
  3. Step 3: Cross multiply
    473,674.68x = 653,675.66 × 258,814.74
  4. Step 4: Simplify right side
    473,674.68x = 169,180,894,693.16
  5. Step 5: Solve for x
    x = 169,180,894,693.16/473,674.68
  6. Step 6: Final answer
    x = 357,166.85

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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.