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Finding the Fourth Proportional to 512,190.04, 706,803.72 and 282,742.40

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Solution

The fourth proportional to 512,190.04, 706,803.72 and 282,742.40 is: 390,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,190.04 : 706,803.72 = 282,742.40 : x
  2. Step 2: Convert to fraction form
    512,190.04/706,803.72 = 282,742.40/x
  3. Step 3: Cross multiply
    512,190.04x = 706,803.72 × 282,742.40
  4. Step 4: Simplify right side
    512,190.04x = 199,843,376,587.71
  5. Step 5: Solve for x
    x = 199,843,376,587.71/512,190.04
  6. Step 6: Final answer
    x = 390,174.28

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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.