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Finding the Fourth Proportional to 470,751.84, 649,488.24 and 292,007.52

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Solution

The fourth proportional to 470,751.84, 649,488.24 and 292,007.52 is: 402,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,751.84 : 649,488.24 = 292,007.52 : x
  2. Step 2: Convert to fraction form
    470,751.84/649,488.24 = 292,007.52/x
  3. Step 3: Cross multiply
    470,751.84x = 649,488.24 × 292,007.52
  4. Step 4: Simplify right side
    470,751.84x = 189,655,450,231.57
  5. Step 5: Solve for x
    x = 189,655,450,231.57/470,751.84
  6. Step 6: Final answer
    x = 402,877.77

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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.