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Finding the Fourth Proportional to 314,776.70, 472,256.98 and 101,539.90

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Solution

The fourth proportional to 314,776.70, 472,256.98 and 101,539.90 is: 152,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,776.70 : 472,256.98 = 101,539.90 : x
  2. Step 2: Convert to fraction form
    314,776.70/472,256.98 = 101,539.90/x
  3. Step 3: Cross multiply
    314,776.70x = 472,256.98 × 101,539.90
  4. Step 4: Simplify right side
    314,776.70x = 47,952,926,523.50
  5. Step 5: Solve for x
    x = 47,952,926,523.50/314,776.70
  6. Step 6: Final answer
    x = 152,339.50

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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.