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Finding the Fourth Proportional to 563,053.76, 776,993.28 and 308,407.04

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Solution

The fourth proportional to 563,053.76, 776,993.28 and 308,407.04 is: 425,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,053.76 : 776,993.28 = 308,407.04 : x
  2. Step 2: Convert to fraction form
    563,053.76/776,993.28 = 308,407.04/x
  3. Step 3: Cross multiply
    563,053.76x = 776,993.28 × 308,407.04
  4. Step 4: Simplify right side
    563,053.76x = 239,630,197,584.69
  5. Step 5: Solve for x
    x = 239,630,197,584.69/563,053.76
  6. Step 6: Final answer
    x = 425,590.26

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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.