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Finding the Fourth Proportional to 512,189.47, 706,802.95 and 282,741.83

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Solution

The fourth proportional to 512,189.47, 706,802.95 and 282,741.83 is: 390,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,189.47 : 706,802.95 = 282,741.83 : x
  2. Step 2: Convert to fraction form
    512,189.47/706,802.95 = 282,741.83/x
  3. Step 3: Cross multiply
    512,189.47x = 706,802.95 × 282,741.83
  4. Step 4: Simplify right side
    512,189.47x = 199,842,762,083.52
  5. Step 5: Solve for x
    x = 199,842,762,083.52/512,189.47
  6. Step 6: Final answer
    x = 390,173.50

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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.