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Finding the Fourth Proportional to 550,143.30, 824,230.80 and 465,506.40

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Solution

The fourth proportional to 550,143.30, 824,230.80 and 465,506.40 is: 697,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,143.30 : 824,230.80 = 465,506.40 : x
  2. Step 2: Convert to fraction form
    550,143.30/824,230.80 = 465,506.40/x
  3. Step 3: Cross multiply
    550,143.30x = 824,230.80 × 465,506.40
  4. Step 4: Simplify right side
    550,143.30x = 383,684,712,477.12
  5. Step 5: Solve for x
    x = 383,684,712,477.12/550,143.30
  6. Step 6: Final answer
    x = 697,426.86

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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.