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Finding the Fourth Proportional to 413,547.55, 619,501.20 and 364,230.70

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Solution

The fourth proportional to 413,547.55, 619,501.20 and 364,230.70 is: 545,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,547.55 : 619,501.20 = 364,230.70 : x
  2. Step 2: Convert to fraction form
    413,547.55/619,501.20 = 364,230.70/x
  3. Step 3: Cross multiply
    413,547.55x = 619,501.20 × 364,230.70
  4. Step 4: Simplify right side
    413,547.55x = 225,641,355,726.84
  5. Step 5: Solve for x
    x = 225,641,355,726.84/413,547.55
  6. Step 6: Final answer
    x = 545,623.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.