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Finding the Fourth Proportional to 710,156.40, 1,065,695.40 and 410,636.40

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Solution

The fourth proportional to 710,156.40, 1,065,695.40 and 410,636.40 is: 616,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,156.40 : 1,065,695.40 = 410,636.40 : x
  2. Step 2: Convert to fraction form
    710,156.40/1,065,695.40 = 410,636.40/x
  3. Step 3: Cross multiply
    710,156.40x = 1,065,695.40 × 410,636.40
  4. Step 4: Simplify right side
    710,156.40x = 437,613,322,552.56
  5. Step 5: Solve for x
    x = 437,613,322,552.56/710,156.40
  6. Step 6: Final answer
    x = 616,221.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.