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Finding the Fourth Proportional to 296,530.47, 409,241.35 and 169,225.20

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Solution

The fourth proportional to 296,530.47, 409,241.35 and 169,225.20 is: 233,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,530.47 : 409,241.35 = 169,225.20 : x
  2. Step 2: Convert to fraction form
    296,530.47/409,241.35 = 169,225.20/x
  3. Step 3: Cross multiply
    296,530.47x = 409,241.35 × 169,225.20
  4. Step 4: Simplify right side
    296,530.47x = 69,253,949,302.02
  5. Step 5: Solve for x
    x = 69,253,949,302.02/296,530.47
  6. Step 6: Final answer
    x = 233,547.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.