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Finding the Fourth Proportional to 549,864.18, 758,861.46 and 320,409

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Solution

The fourth proportional to 549,864.18, 758,861.46 and 320,409 is: 442,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,864.18 : 758,861.46 = 320,409 : x
  2. Step 2: Convert to fraction form
    549,864.18/758,861.46 = 320,409/x
  3. Step 3: Cross multiply
    549,864.18x = 758,861.46 × 320,409
  4. Step 4: Simplify right side
    549,864.18x = 243,146,041,537.14
  5. Step 5: Solve for x
    x = 243,146,041,537.14/549,864.18
  6. Step 6: Final answer
    x = 442,192.91

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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.