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Finding the Fourth Proportional to 375,264.27, 562,566.96 and 194,970.06

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Solution

The fourth proportional to 375,264.27, 562,566.96 and 194,970.06 is: 292,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,264.27 : 562,566.96 = 194,970.06 : x
  2. Step 2: Convert to fraction form
    375,264.27/562,566.96 = 194,970.06/x
  3. Step 3: Cross multiply
    375,264.27x = 562,566.96 × 194,970.06
  4. Step 4: Simplify right side
    375,264.27x = 109,683,713,945.22
  5. Step 5: Solve for x
    x = 109,683,713,945.22/375,264.27
  6. Step 6: Final answer
    x = 292,283.93

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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.