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Finding the Fourth Proportional to 462,086.64, 692,831.07 and 303,835.32

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Solution

The fourth proportional to 462,086.64, 692,831.07 and 303,835.32 is: 455,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,086.64 : 692,831.07 = 303,835.32 : x
  2. Step 2: Convert to fraction form
    462,086.64/692,831.07 = 303,835.32/x
  3. Step 3: Cross multiply
    462,086.64x = 692,831.07 × 303,835.32
  4. Step 4: Simplify right side
    462,086.64x = 210,506,549,859.39
  5. Step 5: Solve for x
    x = 210,506,549,859.39/462,086.64
  6. Step 6: Final answer
    x = 455,556.45

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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.