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Finding the Fourth Proportional to 432,816.31, 652,178.75 and 355,658.95

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Solution

The fourth proportional to 432,816.31, 652,178.75 and 355,658.95 is: 535,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,816.31 : 652,178.75 = 355,658.95 : x
  2. Step 2: Convert to fraction form
    432,816.31/652,178.75 = 355,658.95/x
  3. Step 3: Cross multiply
    432,816.31x = 652,178.75 × 355,658.95
  4. Step 4: Simplify right side
    432,816.31x = 231,953,209,437.31
  5. Step 5: Solve for x
    x = 231,953,209,437.31/432,816.31
  6. Step 6: Final answer
    x = 535,916.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.