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Finding the Fourth Proportional to 528,047.75, 728,831.94 and 313,312.43

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Solution

The fourth proportional to 528,047.75, 728,831.94 and 313,312.43 is: 432,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,047.75 : 728,831.94 = 313,312.43 : x
  2. Step 2: Convert to fraction form
    528,047.75/728,831.94 = 313,312.43/x
  3. Step 3: Cross multiply
    528,047.75x = 728,831.94 × 313,312.43
  4. Step 4: Simplify right side
    528,047.75x = 228,352,106,183.01
  5. Step 5: Solve for x
    x = 228,352,106,183.01/528,047.75
  6. Step 6: Final answer
    x = 432,445.94

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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.