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Finding the Fourth Proportional to 549,830.21, 824,715.31 and 150,442.16

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Solution

The fourth proportional to 549,830.21, 824,715.31 and 150,442.16 is: 225,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,830.21 : 824,715.31 = 150,442.16 : x
  2. Step 2: Convert to fraction form
    549,830.21/824,715.31 = 150,442.16/x
  3. Step 3: Cross multiply
    549,830.21x = 824,715.31 × 150,442.16
  4. Step 4: Simplify right side
    549,830.21x = 124,071,952,621.47
  5. Step 5: Solve for x
    x = 124,071,952,621.47/549,830.21
  6. Step 6: Final answer
    x = 225,655.03

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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.