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Finding the Fourth Proportional to 398,164, 549,466.32 and 219,316

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Solution

The fourth proportional to 398,164, 549,466.32 and 219,316 is: 302,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,164 : 549,466.32 = 219,316 : x
  2. Step 2: Convert to fraction form
    398,164/549,466.32 = 219,316/x
  3. Step 3: Cross multiply
    398,164x = 549,466.32 × 219,316
  4. Step 4: Simplify right side
    398,164x = 120,506,755,437.12
  5. Step 5: Solve for x
    x = 120,506,755,437.12/398,164
  6. Step 6: Final answer
    x = 302,656.08

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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.