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Finding the Fourth Proportional to 514,776.16, 710,389.88 and 282,202.69

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Solution

The fourth proportional to 514,776.16, 710,389.88 and 282,202.69 is: 389,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,776.16 : 710,389.88 = 282,202.69 : x
  2. Step 2: Convert to fraction form
    514,776.16/710,389.88 = 282,202.69/x
  3. Step 3: Cross multiply
    514,776.16x = 710,389.88 × 282,202.69
  4. Step 4: Simplify right side
    514,776.16x = 200,473,931,897.79
  5. Step 5: Solve for x
    x = 200,473,931,897.79/514,776.16
  6. Step 6: Final answer
    x = 389,439.04

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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.