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Finding the Fourth Proportional to 410,417.25, 566,385.33 and 257,461.89

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Solution

The fourth proportional to 410,417.25, 566,385.33 and 257,461.89 is: 355,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,417.25 : 566,385.33 = 257,461.89 : x
  2. Step 2: Convert to fraction form
    410,417.25/566,385.33 = 257,461.89/x
  3. Step 3: Cross multiply
    410,417.25x = 566,385.33 × 257,461.89
  4. Step 4: Simplify right side
    410,417.25x = 145,822,637,530.07
  5. Step 5: Solve for x
    x = 145,822,637,530.07/410,417.25
  6. Step 6: Final answer
    x = 355,303.38

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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.