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Finding the Fourth Proportional to 686,095.50, 946,811.80 and 417,823.50

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Solution

The fourth proportional to 686,095.50, 946,811.80 and 417,823.50 is: 576,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,095.50 : 946,811.80 = 417,823.50 : x
  2. Step 2: Convert to fraction form
    686,095.50/946,811.80 = 417,823.50/x
  3. Step 3: Cross multiply
    686,095.50x = 946,811.80 × 417,823.50
  4. Step 4: Simplify right side
    686,095.50x = 395,600,220,117.30
  5. Step 5: Solve for x
    x = 395,600,220,117.30/686,095.50
  6. Step 6: Final answer
    x = 576,596.44

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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.