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Finding the Fourth Proportional to 402,493.20, 602,427.60 and 402,493.20

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Solution

The fourth proportional to 402,493.20, 602,427.60 and 402,493.20 is: 602,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,493.20 : 602,427.60 = 402,493.20 : x
  2. Step 2: Convert to fraction form
    402,493.20/602,427.60 = 402,493.20/x
  3. Step 3: Cross multiply
    402,493.20x = 602,427.60 × 402,493.20
  4. Step 4: Simplify right side
    402,493.20x = 242,473,012,492.32
  5. Step 5: Solve for x
    x = 242,473,012,492.32/402,493.20
  6. Step 6: Final answer
    x = 602,427.60

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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.