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Finding the Fourth Proportional to 410,802.73, 566,903.93 and 229,545.89

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Solution

The fourth proportional to 410,802.73, 566,903.93 and 229,545.89 is: 316,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,802.73 : 566,903.93 = 229,545.89 : x
  2. Step 2: Convert to fraction form
    410,802.73/566,903.93 = 229,545.89/x
  3. Step 3: Cross multiply
    410,802.73x = 566,903.93 × 229,545.89
  4. Step 4: Simplify right side
    410,802.73x = 130,130,467,156.35
  5. Step 5: Solve for x
    x = 130,130,467,156.35/410,802.73
  6. Step 6: Final answer
    x = 316,771.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.