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Finding the Fourth Proportional to 549,523.40, 824,430.90 and 194,500.40

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Solution

The fourth proportional to 549,523.40, 824,430.90 and 194,500.40 is: 291,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,523.40 : 824,430.90 = 194,500.40 : x
  2. Step 2: Convert to fraction form
    549,523.40/824,430.90 = 194,500.40/x
  3. Step 3: Cross multiply
    549,523.40x = 824,430.90 × 194,500.40
  4. Step 4: Simplify right side
    549,523.40x = 160,352,139,822.36
  5. Step 5: Solve for x
    x = 160,352,139,822.36/549,523.40
  6. Step 6: Final answer
    x = 291,802.21

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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.