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Finding the Fourth Proportional to 566,776.77, 782,187.56 and 312,127.98

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Solution

The fourth proportional to 566,776.77, 782,187.56 and 312,127.98 is: 430,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,776.77 : 782,187.56 = 312,127.98 : x
  2. Step 2: Convert to fraction form
    566,776.77/782,187.56 = 312,127.98/x
  3. Step 3: Cross multiply
    566,776.77x = 782,187.56 × 312,127.98
  4. Step 4: Simplify right side
    566,776.77x = 244,142,623,083.93
  5. Step 5: Solve for x
    x = 244,142,623,083.93/566,776.77
  6. Step 6: Final answer
    x = 430,756.23

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1.5x scale

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.