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Finding the Fourth Proportional to 296,547.69, 409,236 and 160,582.71

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Solution

The fourth proportional to 296,547.69, 409,236 and 160,582.71 is: 221,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,547.69 : 409,236 = 160,582.71 : x
  2. Step 2: Convert to fraction form
    296,547.69/409,236 = 160,582.71/x
  3. Step 3: Cross multiply
    296,547.69x = 409,236 × 160,582.71
  4. Step 4: Simplify right side
    296,547.69x = 65,716,225,909.56
  5. Step 5: Solve for x
    x = 65,716,225,909.56/296,547.69
  6. Step 6: Final answer
    x = 221,604.24

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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.