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Finding the Fourth Proportional to 1,509,573, 2,083,210.74 and 830,494.92

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Solution

The fourth proportional to 1,509,573, 2,083,210.74 and 830,494.92 is: 1,146,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,573 : 2,083,210.74 = 830,494.92 : x
  2. Step 2: Convert to fraction form
    1,509,573/2,083,210.74 = 830,494.92/x
  3. Step 3: Cross multiply
    1,509,573x = 2,083,210.74 × 830,494.92
  4. Step 4: Simplify right side
    1,509,573x = 1,730,095,936,859.44
  5. Step 5: Solve for x
    x = 1,730,095,936,859.44/1,509,573
  6. Step 6: Final answer
    x = 1,146,082.99

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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.