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Finding the Fourth Proportional to 398,557, 549,981.12 and 224,153.32

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Solution

The fourth proportional to 398,557, 549,981.12 and 224,153.32 is: 309,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,557 : 549,981.12 = 224,153.32 : x
  2. Step 2: Convert to fraction form
    398,557/549,981.12 = 224,153.32/x
  3. Step 3: Cross multiply
    398,557x = 549,981.12 × 224,153.32
  4. Step 4: Simplify right side
    398,557x = 123,280,093,985.32
  5. Step 5: Solve for x
    x = 123,280,093,985.32/398,557
  6. Step 6: Final answer
    x = 309,316.09

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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.