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Finding the Fourth Proportional to 333,470.18, 460,454.21 and 307,967.24

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Solution

The fourth proportional to 333,470.18, 460,454.21 and 307,967.24 is: 425,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,470.18 : 460,454.21 = 307,967.24 : x
  2. Step 2: Convert to fraction form
    333,470.18/460,454.21 = 307,967.24/x
  3. Step 3: Cross multiply
    333,470.18x = 460,454.21 × 307,967.24
  4. Step 4: Simplify right side
    333,470.18x = 141,804,808,357.97
  5. Step 5: Solve for x
    x = 141,804,808,357.97/333,470.18
  6. Step 6: Final answer
    x = 425,239.85

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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.