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Finding the Fourth Proportional to 293,313.70, 439,624.95 and 153,000.10

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Solution

The fourth proportional to 293,313.70, 439,624.95 and 153,000.10 is: 229,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,313.70 : 439,624.95 = 153,000.10 : x
  2. Step 2: Convert to fraction form
    293,313.70/439,624.95 = 153,000.10/x
  3. Step 3: Cross multiply
    293,313.70x = 439,624.95 × 153,000.10
  4. Step 4: Simplify right side
    293,313.70x = 67,262,661,312.50
  5. Step 5: Solve for x
    x = 67,262,661,312.50/293,313.70
  6. Step 6: Final answer
    x = 229,319.88

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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.