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Finding the Fourth Proportional to 1,509,574, 2,083,212.12 and 830,495.92

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Solution

The fourth proportional to 1,509,574, 2,083,212.12 and 830,495.92 is: 1,146,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,574 : 2,083,212.12 = 830,495.92 : x
  2. Step 2: Convert to fraction form
    1,509,574/2,083,212.12 = 830,495.92/x
  3. Step 3: Cross multiply
    1,509,574x = 2,083,212.12 × 830,495.92
  4. Step 4: Simplify right side
    1,509,574x = 1,730,099,166,154.55
  5. Step 5: Solve for x
    x = 1,730,099,166,154.55/1,509,574
  6. Step 6: Final answer
    x = 1,146,084.37

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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.