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Finding the Fourth Proportional to 333,654.95, 460,444.25 and 180,693.38

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Solution

The fourth proportional to 333,654.95, 460,444.25 and 180,693.38 is: 249,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,654.95 : 460,444.25 = 180,693.38 : x
  2. Step 2: Convert to fraction form
    333,654.95/460,444.25 = 180,693.38/x
  3. Step 3: Cross multiply
    333,654.95x = 460,444.25 × 180,693.38
  4. Step 4: Simplify right side
    333,654.95x = 83,199,227,834.07
  5. Step 5: Solve for x
    x = 83,199,227,834.07/333,654.95
  6. Step 6: Final answer
    x = 249,357.09

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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.