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Finding the Fourth Proportional to 602,282.34, 830,834.76 and 357,124.41

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Solution

The fourth proportional to 602,282.34, 830,834.76 and 357,124.41 is: 492,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,282.34 : 830,834.76 = 357,124.41 : x
  2. Step 2: Convert to fraction form
    602,282.34/830,834.76 = 357,124.41/x
  3. Step 3: Cross multiply
    602,282.34x = 830,834.76 × 357,124.41
  4. Step 4: Simplify right side
    602,282.34x = 296,711,373,472.49
  5. Step 5: Solve for x
    x = 296,711,373,472.49/602,282.34
  6. Step 6: Final answer
    x = 492,644.98

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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.