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Finding the Fourth Proportional to 758,364.12, 1,046,542.14 and 418,829.40

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Solution

The fourth proportional to 758,364.12, 1,046,542.14 and 418,829.40 is: 577,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,364.12 : 1,046,542.14 = 418,829.40 : x
  2. Step 2: Convert to fraction form
    758,364.12/1,046,542.14 = 418,829.40/x
  3. Step 3: Cross multiply
    758,364.12x = 1,046,542.14 × 418,829.40
  4. Step 4: Simplify right side
    758,364.12x = 438,322,616,570.92
  5. Step 5: Solve for x
    x = 438,322,616,570.92/758,364.12
  6. Step 6: Final answer
    x = 577,984.38

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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.