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Finding the Fourth Proportional to 364,821.16, 546,994.62 and 151,530.76

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Solution

The fourth proportional to 364,821.16, 546,994.62 and 151,530.76 is: 227,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,821.16 : 546,994.62 = 151,530.76 : x
  2. Step 2: Convert to fraction form
    364,821.16/546,994.62 = 151,530.76/x
  3. Step 3: Cross multiply
    364,821.16x = 546,994.62 × 151,530.76
  4. Step 4: Simplify right side
    364,821.16x = 82,886,510,484.51
  5. Step 5: Solve for x
    x = 82,886,510,484.51/364,821.16
  6. Step 6: Final answer
    x = 227,197.65

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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.