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Finding the Fourth Proportional to 601,708.84, 830,368.88 and 329,758.64

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Solution

The fourth proportional to 601,708.84, 830,368.88 and 329,758.64 is: 455,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,708.84 : 830,368.88 = 329,758.64 : x
  2. Step 2: Convert to fraction form
    601,708.84/830,368.88 = 329,758.64/x
  3. Step 3: Cross multiply
    601,708.84x = 830,368.88 × 329,758.64
  4. Step 4: Simplify right side
    601,708.84x = 273,821,312,567.12
  5. Step 5: Solve for x
    x = 273,821,312,567.12/601,708.84
  6. Step 6: Final answer
    x = 455,072.78

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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.