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Finding the Fourth Proportional to 601,030.67, 829,444.64 and 342,949.61

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Solution

The fourth proportional to 601,030.67, 829,444.64 and 342,949.61 is: 473,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,030.67 : 829,444.64 = 342,949.61 : x
  2. Step 2: Convert to fraction form
    601,030.67/829,444.64 = 342,949.61/x
  3. Step 3: Cross multiply
    601,030.67x = 829,444.64 × 342,949.61
  4. Step 4: Simplify right side
    601,030.67x = 284,457,716,163.45
  5. Step 5: Solve for x
    x = 284,457,716,163.45/601,030.67
  6. Step 6: Final answer
    x = 473,283.20

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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.