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Finding the Fourth Proportional to 333,854.85, 460,719.06 and 180,897.18

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Solution

The fourth proportional to 333,854.85, 460,719.06 and 180,897.18 is: 249,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,854.85 : 460,719.06 = 180,897.18 : x
  2. Step 2: Convert to fraction form
    333,854.85/460,719.06 = 180,897.18/x
  3. Step 3: Cross multiply
    333,854.85x = 460,719.06 × 180,897.18
  4. Step 4: Simplify right side
    333,854.85x = 83,342,778,726.25
  5. Step 5: Solve for x
    x = 83,342,778,726.25/333,854.85
  6. Step 6: Final answer
    x = 249,637.77

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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.