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Finding the Fourth Proportional to 523,483.80, 722,411.10 and 297,133.08

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Solution

The fourth proportional to 523,483.80, 722,411.10 and 297,133.08 is: 410,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,483.80 : 722,411.10 = 297,133.08 : x
  2. Step 2: Convert to fraction form
    523,483.80/722,411.10 = 297,133.08/x
  3. Step 3: Cross multiply
    523,483.80x = 722,411.10 × 297,133.08
  4. Step 4: Simplify right side
    523,483.80x = 214,652,235,169.19
  5. Step 5: Solve for x
    x = 214,652,235,169.19/523,483.80
  6. Step 6: Final answer
    x = 410,045.61

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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.