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Finding the Fourth Proportional to 549,482.10, 824,320.35 and 194,702.10

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Solution

The fourth proportional to 549,482.10, 824,320.35 and 194,702.10 is: 292,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,482.10 : 824,320.35 = 194,702.10 : x
  2. Step 2: Convert to fraction form
    549,482.10/824,320.35 = 194,702.10/x
  3. Step 3: Cross multiply
    549,482.10x = 824,320.35 × 194,702.10
  4. Step 4: Simplify right side
    549,482.10x = 160,496,903,217.74
  5. Step 5: Solve for x
    x = 160,496,903,217.74/549,482.10
  6. Step 6: Final answer
    x = 292,087.59

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Why These Related Problems?

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