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Finding the Fourth Proportional to 549,529.80, 824,294.70 and 511,038.60

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Solution

The fourth proportional to 549,529.80, 824,294.70 and 511,038.60 is: 766,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,529.80 : 824,294.70 = 511,038.60 : x
  2. Step 2: Convert to fraction form
    549,529.80/824,294.70 = 511,038.60/x
  3. Step 3: Cross multiply
    549,529.80x = 824,294.70 × 511,038.60
  4. Step 4: Simplify right side
    549,529.80x = 421,246,409,475.42
  5. Step 5: Solve for x
    x = 421,246,409,475.42/549,529.80
  6. Step 6: Final answer
    x = 766,557.90

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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.