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Finding the Fourth Proportional to 357,824.34, 536,802.06 and 147,347.46

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Solution

The fourth proportional to 357,824.34, 536,802.06 and 147,347.46 is: 221,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,824.34 : 536,802.06 = 147,347.46 : x
  2. Step 2: Convert to fraction form
    357,824.34/536,802.06 = 147,347.46/x
  3. Step 3: Cross multiply
    357,824.34x = 536,802.06 × 147,347.46
  4. Step 4: Simplify right side
    357,824.34x = 79,096,420,063.77
  5. Step 5: Solve for x
    x = 79,096,420,063.77/357,824.34
  6. Step 6: Final answer
    x = 221,048.18

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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.