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Finding the Fourth Proportional to 601,831.50, 830,527.47 and 333,559.50

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Solution

The fourth proportional to 601,831.50, 830,527.47 and 333,559.50 is: 460,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,831.50 : 830,527.47 = 333,559.50 : x
  2. Step 2: Convert to fraction form
    601,831.50/830,527.47 = 333,559.50/x
  3. Step 3: Cross multiply
    601,831.50x = 830,527.47 × 333,559.50
  4. Step 4: Simplify right side
    601,831.50x = 277,030,327,629.47
  5. Step 5: Solve for x
    x = 277,030,327,629.47/601,831.50
  6. Step 6: Final answer
    x = 460,312.11

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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.