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Finding the Fourth Proportional to 570,916.26, 787,852.38 and 312,780.63

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Solution

The fourth proportional to 570,916.26, 787,852.38 and 312,780.63 is: 431,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,916.26 : 787,852.38 = 312,780.63 : x
  2. Step 2: Convert to fraction form
    570,916.26/787,852.38 = 312,780.63/x
  3. Step 3: Cross multiply
    570,916.26x = 787,852.38 × 312,780.63
  4. Step 4: Simplify right side
    570,916.26x = 246,424,963,763.40
  5. Step 5: Solve for x
    x = 246,424,963,763.40/570,916.26
  6. Step 6: Final answer
    x = 431,630.66

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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.