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Finding the Fourth Proportional to 512,191.04, 706,805.10 and 282,743.40

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Solution

The fourth proportional to 512,191.04, 706,805.10 and 282,743.40 is: 390,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,191.04 : 706,805.10 = 282,743.40 : x
  2. Step 2: Convert to fraction form
    512,191.04/706,805.10 = 282,743.40/x
  3. Step 3: Cross multiply
    512,191.04x = 706,805.10 × 282,743.40
  4. Step 4: Simplify right side
    512,191.04x = 199,844,477,111.34
  5. Step 5: Solve for x
    x = 199,844,477,111.34/512,191.04
  6. Step 6: Final answer
    x = 390,175.66

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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.