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Finding the Fourth Proportional to 473,281.40, 653,154.78 and 258,441.40

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Solution

The fourth proportional to 473,281.40, 653,154.78 and 258,441.40 is: 356,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,281.40 : 653,154.78 = 258,441.40 : x
  2. Step 2: Convert to fraction form
    473,281.40/653,154.78 = 258,441.40/x
  3. Step 3: Cross multiply
    473,281.40x = 653,154.78 × 258,441.40
  4. Step 4: Simplify right side
    473,281.40x = 168,802,235,759.89
  5. Step 5: Solve for x
    x = 168,802,235,759.89/473,281.40
  6. Step 6: Final answer
    x = 356,663.57

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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.