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Finding the Fourth Proportional to 553,050.48, 829,897.74 and 233,182.29

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Solution

The fourth proportional to 553,050.48, 829,897.74 and 233,182.29 is: 349,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,050.48 : 829,897.74 = 233,182.29 : x
  2. Step 2: Convert to fraction form
    553,050.48/829,897.74 = 233,182.29/x
  3. Step 3: Cross multiply
    553,050.48x = 829,897.74 × 233,182.29
  4. Step 4: Simplify right side
    553,050.48x = 193,517,455,479.03
  5. Step 5: Solve for x
    x = 193,517,455,479.03/553,050.48
  6. Step 6: Final answer
    x = 349,909.21

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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.