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Finding the Fourth Proportional to 509,594.04, 703,235.70 and 277,019.52

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Solution

The fourth proportional to 509,594.04, 703,235.70 and 277,019.52 is: 382,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,594.04 : 703,235.70 = 277,019.52 : x
  2. Step 2: Convert to fraction form
    509,594.04/703,235.70 = 277,019.52/x
  3. Step 3: Cross multiply
    509,594.04x = 703,235.70 × 277,019.52
  4. Step 4: Simplify right side
    509,594.04x = 194,810,016,060.86
  5. Step 5: Solve for x
    x = 194,810,016,060.86/509,594.04
  6. Step 6: Final answer
    x = 382,284.72

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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.