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Finding the Fourth Proportional to 583,830.28, 805,219.30 and 402,500.64

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Solution

The fourth proportional to 583,830.28, 805,219.30 and 402,500.64 is: 555,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,830.28 : 805,219.30 = 402,500.64 : x
  2. Step 2: Convert to fraction form
    583,830.28/805,219.30 = 402,500.64/x
  3. Step 3: Cross multiply
    583,830.28x = 805,219.30 × 402,500.64
  4. Step 4: Simplify right side
    583,830.28x = 324,101,283,590.35
  5. Step 5: Solve for x
    x = 324,101,283,590.35/583,830.28
  6. Step 6: Final answer
    x = 555,129.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.