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Finding the Fourth Proportional to 601,823.46, 830,485.53 and 347,159.46

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Solution

The fourth proportional to 601,823.46, 830,485.53 and 347,159.46 is: 479,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,823.46 : 830,485.53 = 347,159.46 : x
  2. Step 2: Convert to fraction form
    601,823.46/830,485.53 = 347,159.46/x
  3. Step 3: Cross multiply
    601,823.46x = 830,485.53 × 347,159.46
  4. Step 4: Simplify right side
    601,823.46x = 288,310,908,132.61
  5. Step 5: Solve for x
    x = 288,310,908,132.61/601,823.46
  6. Step 6: Final answer
    x = 479,062.26

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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.