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Finding the Fourth Proportional to 364,547.70, 546,821.55 and 329,118.30

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Solution

The fourth proportional to 364,547.70, 546,821.55 and 329,118.30 is: 493,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,547.70 : 546,821.55 = 329,118.30 : x
  2. Step 2: Convert to fraction form
    364,547.70/546,821.55 = 329,118.30/x
  3. Step 3: Cross multiply
    364,547.70x = 546,821.55 × 329,118.30
  4. Step 4: Simplify right side
    364,547.70x = 179,968,978,939.37
  5. Step 5: Solve for x
    x = 179,968,978,939.37/364,547.70
  6. Step 6: Final answer
    x = 493,677.45

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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.