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Finding the Fourth Proportional to 470,747.84, 649,482.72 and 292,003.52

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Solution

The fourth proportional to 470,747.84, 649,482.72 and 292,003.52 is: 402,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,747.84 : 649,482.72 = 292,003.52 : x
  2. Step 2: Convert to fraction form
    470,747.84/649,482.72 = 292,003.52/x
  3. Step 3: Cross multiply
    470,747.84x = 649,482.72 × 292,003.52
  4. Step 4: Simplify right side
    470,747.84x = 189,651,240,419.17
  5. Step 5: Solve for x
    x = 189,651,240,419.17/470,747.84
  6. Step 6: Final answer
    x = 402,872.25

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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.