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Finding the Fourth Proportional to 298,870.32, 448,090.02 and 140,943

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Solution

The fourth proportional to 298,870.32, 448,090.02 and 140,943 is: 211,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,870.32 : 448,090.02 = 140,943 : x
  2. Step 2: Convert to fraction form
    298,870.32/448,090.02 = 140,943/x
  3. Step 3: Cross multiply
    298,870.32x = 448,090.02 × 140,943
  4. Step 4: Simplify right side
    298,870.32x = 63,155,151,688.86
  5. Step 5: Solve for x
    x = 63,155,151,688.86/298,870.32
  6. Step 6: Final answer
    x = 211,312.89

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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.