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Finding the Fourth Proportional to 333,605.60, 460,373.76 and 180,642.24

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Solution

The fourth proportional to 333,605.60, 460,373.76 and 180,642.24 is: 249,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,605.60 : 460,373.76 = 180,642.24 : x
  2. Step 2: Convert to fraction form
    333,605.60/460,373.76 = 180,642.24/x
  3. Step 3: Cross multiply
    333,605.60x = 460,373.76 × 180,642.24
  4. Step 4: Simplify right side
    333,605.60x = 83,162,947,243.62
  5. Step 5: Solve for x
    x = 83,162,947,243.62/333,605.60
  6. Step 6: Final answer
    x = 249,285.23

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1.5x scale

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.