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Finding the Fourth Proportional to 462,032.95, 637,607.69 and 258,092.47

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Solution

The fourth proportional to 462,032.95, 637,607.69 and 258,092.47 is: 356,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,032.95 : 637,607.69 = 258,092.47 : x
  2. Step 2: Convert to fraction form
    462,032.95/637,607.69 = 258,092.47/x
  3. Step 3: Cross multiply
    462,032.95x = 637,607.69 × 258,092.47
  4. Step 4: Simplify right side
    462,032.95x = 164,561,742,654.31
  5. Step 5: Solve for x
    x = 164,561,742,654.31/462,032.95
  6. Step 6: Final answer
    x = 356,168.85

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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.