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Finding the Fourth Proportional to 297,002.10, 416,852.70 and 297,002.10

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Solution

The fourth proportional to 297,002.10, 416,852.70 and 297,002.10 is: 416,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002.10 : 416,852.70 = 297,002.10 : x
  2. Step 2: Convert to fraction form
    297,002.10/416,852.70 = 297,002.10/x
  3. Step 3: Cross multiply
    297,002.10x = 416,852.70 × 297,002.10
  4. Step 4: Simplify right side
    297,002.10x = 123,806,127,290.67
  5. Step 5: Solve for x
    x = 123,806,127,290.67/297,002.10
  6. Step 6: Final answer
    x = 416,852.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.