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Finding the Fourth Proportional to 758,908.12, 1,047,252 and 419,354.50

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Solution

The fourth proportional to 758,908.12, 1,047,252 and 419,354.50 is: 578,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,908.12 : 1,047,252 = 419,354.50 : x
  2. Step 2: Convert to fraction form
    758,908.12/1,047,252 = 419,354.50/x
  3. Step 3: Cross multiply
    758,908.12x = 1,047,252 × 419,354.50
  4. Step 4: Simplify right side
    758,908.12x = 439,169,838,834
  5. Step 5: Solve for x
    x = 439,169,838,834/758,908.12
  6. Step 6: Final answer
    x = 578,686.44

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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.