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Finding the Fourth Proportional to 406,437.40, 609,656.10 and 169,778.20

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Solution

The fourth proportional to 406,437.40, 609,656.10 and 169,778.20 is: 254,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.40 : 609,656.10 = 169,778.20 : x
  2. Step 2: Convert to fraction form
    406,437.40/609,656.10 = 169,778.20/x
  3. Step 3: Cross multiply
    406,437.40x = 609,656.10 × 169,778.20
  4. Step 4: Simplify right side
    406,437.40x = 103,506,315,277.02
  5. Step 5: Solve for x
    x = 103,506,315,277.02/406,437.40
  6. Step 6: Final answer
    x = 254,667.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.