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Finding the Fourth Proportional to 296,530.72, 409,241.70 and 169,225.45

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Solution

The fourth proportional to 296,530.72, 409,241.70 and 169,225.45 is: 233,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,530.72 : 409,241.70 = 169,225.45 : x
  2. Step 2: Convert to fraction form
    296,530.72/409,241.70 = 169,225.45/x
  3. Step 3: Cross multiply
    296,530.72x = 409,241.70 × 169,225.45
  4. Step 4: Simplify right side
    296,530.72x = 69,254,110,841.27
  5. Step 5: Solve for x
    x = 69,254,110,841.27/296,530.72
  6. Step 6: Final answer
    x = 233,547.85

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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.