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Finding the Fourth Proportional to 473,813.64, 653,861.28 and 258,953.67

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Solution

The fourth proportional to 473,813.64, 653,861.28 and 258,953.67 is: 357,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,813.64 : 653,861.28 = 258,953.67 : x
  2. Step 2: Convert to fraction form
    473,813.64/653,861.28 = 258,953.67/x
  3. Step 3: Cross multiply
    473,813.64x = 653,861.28 × 258,953.67
  4. Step 4: Simplify right side
    473,813.64x = 169,319,778,126.90
  5. Step 5: Solve for x
    x = 169,319,778,126.90/473,813.64
  6. Step 6: Final answer
    x = 357,355.22

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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.