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Finding the Fourth Proportional to 364,600.98, 546,114.14 and 355,678.02

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Solution

The fourth proportional to 364,600.98, 546,114.14 and 355,678.02 is: 532,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,600.98 : 546,114.14 = 355,678.02 : x
  2. Step 2: Convert to fraction form
    364,600.98/546,114.14 = 355,678.02/x
  3. Step 3: Cross multiply
    364,600.98x = 546,114.14 × 355,678.02
  4. Step 4: Simplify right side
    364,600.98x = 194,240,796,009.20
  5. Step 5: Solve for x
    x = 194,240,796,009.20/364,600.98
  6. Step 6: Final answer
    x = 532,748.97

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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.