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Finding the Fourth Proportional to 238,407.68, 357,698.74 and 224,323.40

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Solution

The fourth proportional to 238,407.68, 357,698.74 and 224,323.40 is: 336,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,407.68 : 357,698.74 = 224,323.40 : x
  2. Step 2: Convert to fraction form
    238,407.68/357,698.74 = 224,323.40/x
  3. Step 3: Cross multiply
    238,407.68x = 357,698.74 × 224,323.40
  4. Step 4: Simplify right side
    238,407.68x = 80,240,197,532.52
  5. Step 5: Solve for x
    x = 80,240,197,532.52/238,407.68
  6. Step 6: Final answer
    x = 336,567.17

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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.