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Finding the Fourth Proportional to 549,356, 824,039.14 and 194,430.20

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Solution

The fourth proportional to 549,356, 824,039.14 and 194,430.20 is: 291,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,356 : 824,039.14 = 194,430.20 : x
  2. Step 2: Convert to fraction form
    549,356/824,039.14 = 194,430.20/x
  3. Step 3: Cross multiply
    549,356x = 824,039.14 × 194,430.20
  4. Step 4: Simplify right side
    549,356x = 160,218,094,798.03
  5. Step 5: Solve for x
    x = 160,218,094,798.03/549,356
  6. Step 6: Final answer
    x = 291,647.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.