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Finding the Fourth Proportional to 684,364.96, 944,429.76 and 378,461.93

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Solution

The fourth proportional to 684,364.96, 944,429.76 and 378,461.93 is: 522,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,364.96 : 944,429.76 = 378,461.93 : x
  2. Step 2: Convert to fraction form
    684,364.96/944,429.76 = 378,461.93/x
  3. Step 3: Cross multiply
    684,364.96x = 944,429.76 × 378,461.93
  4. Step 4: Simplify right side
    684,364.96x = 357,430,710,309.31
  5. Step 5: Solve for x
    x = 357,430,710,309.31/684,364.96
  6. Step 6: Final answer
    x = 522,280.85

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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.