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Finding the Fourth Proportional to 364,525.30, 546,715.05 and 174,985.30

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Solution

The fourth proportional to 364,525.30, 546,715.05 and 174,985.30 is: 262,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,525.30 : 546,715.05 = 174,985.30 : x
  2. Step 2: Convert to fraction form
    364,525.30/546,715.05 = 174,985.30/x
  3. Step 3: Cross multiply
    364,525.30x = 546,715.05 × 174,985.30
  4. Step 4: Simplify right side
    364,525.30x = 95,667,097,038.77
  5. Step 5: Solve for x
    x = 95,667,097,038.77/364,525.30
  6. Step 6: Final answer
    x = 262,442.96

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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.