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Finding the Fourth Proportional to 868,498.80, 1,302,441 and 413,036.40

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Solution

The fourth proportional to 868,498.80, 1,302,441 and 413,036.40 is: 619,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,498.80 : 1,302,441 = 413,036.40 : x
  2. Step 2: Convert to fraction form
    868,498.80/1,302,441 = 413,036.40/x
  3. Step 3: Cross multiply
    868,498.80x = 1,302,441 × 413,036.40
  4. Step 4: Simplify right side
    868,498.80x = 537,955,541,852.40
  5. Step 5: Solve for x
    x = 537,955,541,852.40/868,498.80
  6. Step 6: Final answer
    x = 619,408.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.