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Finding the Fourth Proportional to 553,187.57, 829,437.71 and 233,174.79

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Solution

The fourth proportional to 553,187.57, 829,437.71 and 233,174.79 is: 349,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,187.57 : 829,437.71 = 233,174.79 : x
  2. Step 2: Convert to fraction form
    553,187.57/829,437.71 = 233,174.79/x
  3. Step 3: Cross multiply
    553,187.57x = 829,437.71 × 233,174.79
  4. Step 4: Simplify right side
    553,187.57x = 193,403,962,681.46
  5. Step 5: Solve for x
    x = 193,403,962,681.46/553,187.57
  6. Step 6: Final answer
    x = 349,617.34

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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.