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Finding the Fourth Proportional to 314,059, 470,881.78 and 207,116.89

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Solution

The fourth proportional to 314,059, 470,881.78 and 207,116.89 is: 310,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,059 : 470,881.78 = 207,116.89 : x
  2. Step 2: Convert to fraction form
    314,059/470,881.78 = 207,116.89/x
  3. Step 3: Cross multiply
    314,059x = 470,881.78 × 207,116.89
  4. Step 4: Simplify right side
    314,059x = 97,527,569,831.26
  5. Step 5: Solve for x
    x = 97,527,569,831.26/314,059
  6. Step 6: Final answer
    x = 310,539.01

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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.