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Finding the Fourth Proportional to 512,019.83, 706,627.45 and 282,622.67

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Solution

The fourth proportional to 512,019.83, 706,627.45 and 282,622.67 is: 390,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,019.83 : 706,627.45 = 282,622.67 : x
  2. Step 2: Convert to fraction form
    512,019.83/706,627.45 = 282,622.67/x
  3. Step 3: Cross multiply
    512,019.83x = 706,627.45 × 282,622.67
  4. Step 4: Simplify right side
    512,019.83x = 199,708,934,494.53
  5. Step 5: Solve for x
    x = 199,708,934,494.53/512,019.83
  6. Step 6: Final answer
    x = 390,041.40

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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.