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Finding the Fourth Proportional to 647,547.30, 971,320.96 and 505,829.70

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Solution

The fourth proportional to 647,547.30, 971,320.96 and 505,829.70 is: 758,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,547.30 : 971,320.96 = 505,829.70 : x
  2. Step 2: Convert to fraction form
    647,547.30/971,320.96 = 505,829.70/x
  3. Step 3: Cross multiply
    647,547.30x = 971,320.96 × 505,829.70
  4. Step 4: Simplify right side
    647,547.30x = 491,322,989,800.51
  5. Step 5: Solve for x
    x = 491,322,989,800.51/647,547.30
  6. Step 6: Final answer
    x = 758,744.56

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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.