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Finding the Fourth Proportional to 292,869.32, 438,802.49 and 159,842.92

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Solution

The fourth proportional to 292,869.32, 438,802.49 and 159,842.92 is: 239,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,869.32 : 438,802.49 = 159,842.92 : x
  2. Step 2: Convert to fraction form
    292,869.32/438,802.49 = 159,842.92/x
  3. Step 3: Cross multiply
    292,869.32x = 438,802.49 × 159,842.92
  4. Step 4: Simplify right side
    292,869.32x = 70,139,470,980.67
  5. Step 5: Solve for x
    x = 70,139,470,980.67/292,869.32
  6. Step 6: Final answer
    x = 239,490.67

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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.