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Finding the Fourth Proportional to 684,065.69, 943,780.50 and 442,653.69

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Solution

The fourth proportional to 684,065.69, 943,780.50 and 442,653.69 is: 610,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,065.69 : 943,780.50 = 442,653.69 : x
  2. Step 2: Convert to fraction form
    684,065.69/943,780.50 = 442,653.69/x
  3. Step 3: Cross multiply
    684,065.69x = 943,780.50 × 442,653.69
  4. Step 4: Simplify right side
    684,065.69x = 417,767,920,875.05
  5. Step 5: Solve for x
    x = 417,767,920,875.05/684,065.69
  6. Step 6: Final answer
    x = 610,713.16

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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.