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Finding the Fourth Proportional to 868,500.80, 1,302,444 and 413,038.40

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Solution

The fourth proportional to 868,500.80, 1,302,444 and 413,038.40 is: 619,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,500.80 : 1,302,444 = 413,038.40 : x
  2. Step 2: Convert to fraction form
    868,500.80/1,302,444 = 413,038.40/x
  3. Step 3: Cross multiply
    868,500.80x = 1,302,444 × 413,038.40
  4. Step 4: Simplify right side
    868,500.80x = 537,959,385,849.60
  5. Step 5: Solve for x
    x = 537,959,385,849.60/868,500.80
  6. Step 6: Final answer
    x = 619,411.50

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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.