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Finding the Fourth Proportional to 333,544.61, 460,291.86 and 180,582.91

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Solution

The fourth proportional to 333,544.61, 460,291.86 and 180,582.91 is: 249,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,544.61 : 460,291.86 = 180,582.91 : x
  2. Step 2: Convert to fraction form
    333,544.61/460,291.86 = 180,582.91/x
  3. Step 3: Cross multiply
    333,544.61x = 460,291.86 × 180,582.91
  4. Step 4: Simplify right side
    333,544.61x = 83,120,842,377.38
  5. Step 5: Solve for x
    x = 83,120,842,377.38/333,544.61
  6. Step 6: Final answer
    x = 249,204.57

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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.