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Finding the Fourth Proportional to 333,546.68, 460,294.70 and 180,585

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Solution

The fourth proportional to 333,546.68, 460,294.70 and 180,585 is: 249,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,546.68 : 460,294.70 = 180,585 : x
  2. Step 2: Convert to fraction form
    333,546.68/460,294.70 = 180,585/x
  3. Step 3: Cross multiply
    333,546.68x = 460,294.70 × 180,585
  4. Step 4: Simplify right side
    333,546.68x = 83,122,317,496.58
  5. Step 5: Solve for x
    x = 83,122,317,496.58/333,546.68
  6. Step 6: Final answer
    x = 249,207.45

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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.