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Finding the Fourth Proportional to 314,631.80, 472,254.90 and 157,038.20

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Solution

The fourth proportional to 314,631.80, 472,254.90 and 157,038.20 is: 235,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,631.80 : 472,254.90 = 157,038.20 : x
  2. Step 2: Convert to fraction form
    314,631.80/472,254.90 = 157,038.20/x
  3. Step 3: Cross multiply
    314,631.80x = 472,254.90 × 157,038.20
  4. Step 4: Simplify right side
    314,631.80x = 74,162,059,437.18
  5. Step 5: Solve for x
    x = 74,162,059,437.18/314,631.80
  6. Step 6: Final answer
    x = 235,710.63

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1.5x scale

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.