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Finding the Fourth Proportional to 602,118.15, 830,916.19 and 347,463.87

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Solution

The fourth proportional to 602,118.15, 830,916.19 and 347,463.87 is: 479,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,118.15 : 830,916.19 = 347,463.87 : x
  2. Step 2: Convert to fraction form
    602,118.15/830,916.19 = 347,463.87/x
  3. Step 3: Cross multiply
    602,118.15x = 830,916.19 × 347,463.87
  4. Step 4: Simplify right side
    602,118.15x = 288,713,355,023.06
  5. Step 5: Solve for x
    x = 288,713,355,023.06/602,118.15
  6. Step 6: Final answer
    x = 479,496.18

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1.5x scale

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.