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Finding the Fourth Proportional to 972,908.10, 1,342,511.32 and 564,930.40

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Solution

The fourth proportional to 972,908.10, 1,342,511.32 and 564,930.40 is: 779,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,908.10 : 1,342,511.32 = 564,930.40 : x
  2. Step 2: Convert to fraction form
    972,908.10/1,342,511.32 = 564,930.40/x
  3. Step 3: Cross multiply
    972,908.10x = 1,342,511.32 × 564,930.40
  4. Step 4: Simplify right side
    972,908.10x = 758,425,457,012.13
  5. Step 5: Solve for x
    x = 758,425,457,012.13/972,908.10
  6. Step 6: Final answer
    x = 779,544.81

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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.