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Finding the Fourth Proportional to 294,612, 406,565.04 and 160,476

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Solution

The fourth proportional to 294,612, 406,565.04 and 160,476 is: 221,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,612 : 406,565.04 = 160,476 : x
  2. Step 2: Convert to fraction form
    294,612/406,565.04 = 160,476/x
  3. Step 3: Cross multiply
    294,612x = 406,565.04 × 160,476
  4. Step 4: Simplify right side
    294,612x = 65,243,931,359.04
  5. Step 5: Solve for x
    x = 65,243,931,359.04/294,612
  6. Step 6: Final answer
    x = 221,457.14

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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.