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Finding the Fourth Proportional to 590,970.24, 886,951.30 and 306,835.20

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Solution

The fourth proportional to 590,970.24, 886,951.30 and 306,835.20 is: 460,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,970.24 : 886,951.30 = 306,835.20 : x
  2. Step 2: Convert to fraction form
    590,970.24/886,951.30 = 306,835.20/x
  3. Step 3: Cross multiply
    590,970.24x = 886,951.30 × 306,835.20
  4. Step 4: Simplify right side
    590,970.24x = 272,147,879,525.76
  5. Step 5: Solve for x
    x = 272,147,879,525.76/590,970.24
  6. Step 6: Final answer
    x = 460,510.29

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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.