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Finding the Fourth Proportional to 676,123.68, 933,682.80 and 434,825.24

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Solution

The fourth proportional to 676,123.68, 933,682.80 and 434,825.24 is: 600,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,123.68 : 933,682.80 = 434,825.24 : x
  2. Step 2: Convert to fraction form
    676,123.68/933,682.80 = 434,825.24/x
  3. Step 3: Cross multiply
    676,123.68x = 933,682.80 × 434,825.24
  4. Step 4: Simplify right side
    676,123.68x = 405,988,847,593.87
  5. Step 5: Solve for x
    x = 405,988,847,593.87/676,123.68
  6. Step 6: Final answer
    x = 600,465.36

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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.