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Finding the Fourth Proportional to 291,830.40, 437,054.40 and 197,827.20

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Solution

The fourth proportional to 291,830.40, 437,054.40 and 197,827.20 is: 296,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,830.40 : 437,054.40 = 197,827.20 : x
  2. Step 2: Convert to fraction form
    291,830.40/437,054.40 = 197,827.20/x
  3. Step 3: Cross multiply
    291,830.40x = 437,054.40 × 197,827.20
  4. Step 4: Simplify right side
    291,830.40x = 86,461,248,199.68
  5. Step 5: Solve for x
    x = 86,461,248,199.68/291,830.40
  6. Step 6: Final answer
    x = 296,272.25

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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.