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Finding the Fourth Proportional to 567,616.77, 782,497.08 and 446,547.69

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Solution

The fourth proportional to 567,616.77, 782,497.08 and 446,547.69 is: 615,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,616.77 : 782,497.08 = 446,547.69 : x
  2. Step 2: Convert to fraction form
    567,616.77/782,497.08 = 446,547.69/x
  3. Step 3: Cross multiply
    567,616.77x = 782,497.08 × 446,547.69
  4. Step 4: Simplify right side
    567,616.77x = 349,422,263,505.75
  5. Step 5: Solve for x
    x = 349,422,263,505.75/567,616.77
  6. Step 6: Final answer
    x = 615,595.38

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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.