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Finding the Fourth Proportional to 333,421.80, 460,121.50 and 180,459.95

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Solution

The fourth proportional to 333,421.80, 460,121.50 and 180,459.95 is: 249,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,421.80 : 460,121.50 = 180,459.95 : x
  2. Step 2: Convert to fraction form
    333,421.80/460,121.50 = 180,459.95/x
  3. Step 3: Cross multiply
    333,421.80x = 460,121.50 × 180,459.95
  4. Step 4: Simplify right side
    333,421.80x = 83,033,502,381.99
  5. Step 5: Solve for x
    x = 83,033,502,381.99/333,421.80
  6. Step 6: Final answer
    x = 249,034.41

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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.