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Finding the Fourth Proportional to 826,737.29, 1,140,809.10 and 464,201

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Solution

The fourth proportional to 826,737.29, 1,140,809.10 and 464,201 is: 640,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,737.29 : 1,140,809.10 = 464,201 : x
  2. Step 2: Convert to fraction form
    826,737.29/1,140,809.10 = 464,201/x
  3. Step 3: Cross multiply
    826,737.29x = 1,140,809.10 × 464,201
  4. Step 4: Simplify right side
    826,737.29x = 529,564,725,029.10
  5. Step 5: Solve for x
    x = 529,564,725,029.10/826,737.29
  6. Step 6: Final answer
    x = 640,547.77

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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.