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Finding the Fourth Proportional to 553,312.80, 829,969.20 and 413,344.80

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Solution

The fourth proportional to 553,312.80, 829,969.20 and 413,344.80 is: 620,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,312.80 : 829,969.20 = 413,344.80 : x
  2. Step 2: Convert to fraction form
    553,312.80/829,969.20 = 413,344.80/x
  3. Step 3: Cross multiply
    553,312.80x = 829,969.20 × 413,344.80
  4. Step 4: Simplify right side
    553,312.80x = 343,063,452,980.16
  5. Step 5: Solve for x
    x = 343,063,452,980.16/553,312.80
  6. Step 6: Final answer
    x = 620,017.20

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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.