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Finding the Fourth Proportional to 502,043.28, 692,356.88 and 341,138.40

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Solution

The fourth proportional to 502,043.28, 692,356.88 and 341,138.40 is: 470,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,043.28 : 692,356.88 = 341,138.40 : x
  2. Step 2: Convert to fraction form
    502,043.28/692,356.88 = 341,138.40/x
  3. Step 3: Cross multiply
    502,043.28x = 692,356.88 × 341,138.40
  4. Step 4: Simplify right side
    502,043.28x = 236,189,518,272.19
  5. Step 5: Solve for x
    x = 236,189,518,272.19/502,043.28
  6. Step 6: Final answer
    x = 470,456.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.