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Finding the Fourth Proportional to 753,462, 1,039,777.98 and 413,952.12

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Solution

The fourth proportional to 753,462, 1,039,777.98 and 413,952.12 is: 571,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,462 : 1,039,777.98 = 413,952.12 : x
  2. Step 2: Convert to fraction form
    753,462/1,039,777.98 = 413,952.12/x
  3. Step 3: Cross multiply
    753,462x = 1,039,777.98 × 413,952.12
  4. Step 4: Simplify right side
    753,462x = 430,418,299,150.32
  5. Step 5: Solve for x
    x = 430,418,299,150.32/753,462
  6. Step 6: Final answer
    x = 571,254.16

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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.