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Finding the Fourth Proportional to 577,653.89, 866,686.04 and 257,776.66

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Solution

The fourth proportional to 577,653.89, 866,686.04 and 257,776.66 is: 386,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,653.89 : 866,686.04 = 257,776.66 : x
  2. Step 2: Convert to fraction form
    577,653.89/866,686.04 = 257,776.66/x
  3. Step 3: Cross multiply
    577,653.89x = 866,686.04 × 257,776.66
  4. Step 4: Simplify right side
    577,653.89x = 223,411,427,037.51
  5. Step 5: Solve for x
    x = 223,411,427,037.51/577,653.89
  6. Step 6: Final answer
    x = 386,756.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.