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Finding the Fourth Proportional to 602,002, 830,892.36 and 360,338.52

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Solution

The fourth proportional to 602,002, 830,892.36 and 360,338.52 is: 497,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,002 : 830,892.36 = 360,338.52 : x
  2. Step 2: Convert to fraction form
    602,002/830,892.36 = 360,338.52/x
  3. Step 3: Cross multiply
    602,002x = 830,892.36 × 360,338.52
  4. Step 4: Simplify right side
    602,002x = 299,402,523,281.71
  5. Step 5: Solve for x
    x = 299,402,523,281.71/602,002
  6. Step 6: Final answer
    x = 497,344.73

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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.