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Finding the Fourth Proportional to 461,655.27, 637,116.30 and 257,746.32

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Solution

The fourth proportional to 461,655.27, 637,116.30 and 257,746.32 is: 355,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,655.27 : 637,116.30 = 257,746.32 : x
  2. Step 2: Convert to fraction form
    461,655.27/637,116.30 = 257,746.32/x
  3. Step 3: Cross multiply
    461,655.27x = 637,116.30 × 257,746.32
  4. Step 4: Simplify right side
    461,655.27x = 164,214,381,737.02
  5. Step 5: Solve for x
    x = 164,214,381,737.02/461,655.27
  6. Step 6: Final answer
    x = 355,707.80

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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.