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Finding the Fourth Proportional to 576,374.51, 864,275.84 and 197,188.00

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Solution

The fourth proportional to 576,374.51, 864,275.84 and 197,188.00 is: 295,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,374.51 : 864,275.84 = 197,188.00 : x
  2. Step 2: Convert to fraction form
    576,374.51/864,275.84 = 197,188.00/x
  3. Step 3: Cross multiply
    576,374.51x = 864,275.84 × 197,188.00
  4. Step 4: Simplify right side
    576,374.51x = 170,424,819,030.60
  5. Step 5: Solve for x
    x = 170,424,819,030.60/576,374.51
  6. Step 6: Final answer
    x = 295,684.17

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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.