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Finding the Fourth Proportional to 549,742.40, 824,848.32 and 234,347.84

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Solution

The fourth proportional to 549,742.40, 824,848.32 and 234,347.84 is: 351,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,742.40 : 824,848.32 = 234,347.84 : x
  2. Step 2: Convert to fraction form
    549,742.40/824,848.32 = 234,347.84/x
  3. Step 3: Cross multiply
    549,742.40x = 824,848.32 × 234,347.84
  4. Step 4: Simplify right side
    549,742.40x = 193,301,422,119.63
  5. Step 5: Solve for x
    x = 193,301,422,119.63/549,742.40
  6. Step 6: Final answer
    x = 351,621.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.