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Finding the Fourth Proportional to 586,047.82, 883,464.35 and 546,987.78

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Solution

The fourth proportional to 586,047.82, 883,464.35 and 546,987.78 is: 824,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,047.82 : 883,464.35 = 546,987.78 : x
  2. Step 2: Convert to fraction form
    586,047.82/883,464.35 = 546,987.78/x
  3. Step 3: Cross multiply
    586,047.82x = 883,464.35 × 546,987.78
  4. Step 4: Simplify right side
    586,047.82x = 483,244,203,515.64
  5. Step 5: Solve for x
    x = 483,244,203,515.64/586,047.82
  6. Step 6: Final answer
    x = 824,581.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.