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Finding the Fourth Proportional to 602,116.02, 830,913.26 and 347,461.74

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Solution

The fourth proportional to 602,116.02, 830,913.26 and 347,461.74 is: 479,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,116.02 : 830,913.26 = 347,461.74 : x
  2. Step 2: Convert to fraction form
    602,116.02/830,913.26 = 347,461.74/x
  3. Step 3: Cross multiply
    602,116.02x = 830,913.26 × 347,461.74
  4. Step 4: Simplify right side
    602,116.02x = 288,710,565,371.36
  5. Step 5: Solve for x
    x = 288,710,565,371.36/602,116.02
  6. Step 6: Final answer
    x = 479,493.25

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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.