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Finding the Fourth Proportional to 413,281.49, 619,330.21 and 235,421.24

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Solution

The fourth proportional to 413,281.49, 619,330.21 and 235,421.24 is: 352,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,281.49 : 619,330.21 = 235,421.24 : x
  2. Step 2: Convert to fraction form
    413,281.49/619,330.21 = 235,421.24/x
  3. Step 3: Cross multiply
    413,281.49x = 619,330.21 × 235,421.24
  4. Step 4: Simplify right side
    413,281.49x = 145,803,482,322.46
  5. Step 5: Solve for x
    x = 145,803,482,322.46/413,281.49
  6. Step 6: Final answer
    x = 352,794.61

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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.