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Finding the Fourth Proportional to 499,214.80, 689,040.24 and 284,482.24

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Solution

The fourth proportional to 499,214.80, 689,040.24 and 284,482.24 is: 392,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,214.80 : 689,040.24 = 284,482.24 : x
  2. Step 2: Convert to fraction form
    499,214.80/689,040.24 = 284,482.24/x
  3. Step 3: Cross multiply
    499,214.80x = 689,040.24 × 284,482.24
  4. Step 4: Simplify right side
    499,214.80x = 196,019,710,925.34
  5. Step 5: Solve for x
    x = 196,019,710,925.34/499,214.80
  6. Step 6: Final answer
    x = 392,656.05

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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.