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Finding the Fourth Proportional to 600,831.12, 829,090.76 and 359,065.68

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Solution

The fourth proportional to 600,831.12, 829,090.76 and 359,065.68 is: 495,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,831.12 : 829,090.76 = 359,065.68 : x
  2. Step 2: Convert to fraction form
    600,831.12/829,090.76 = 359,065.68/x
  3. Step 3: Cross multiply
    600,831.12x = 829,090.76 × 359,065.68
  4. Step 4: Simplify right side
    600,831.12x = 297,698,037,521.12
  5. Step 5: Solve for x
    x = 297,698,037,521.12/600,831.12
  6. Step 6: Final answer
    x = 495,477.06

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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.