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Finding the Fourth Proportional to 475,206.40, 711,497.40 and 370,230.40

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Solution

The fourth proportional to 475,206.40, 711,497.40 and 370,230.40 is: 554,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,206.40 : 711,497.40 = 370,230.40 : x
  2. Step 2: Convert to fraction form
    475,206.40/711,497.40 = 370,230.40/x
  3. Step 3: Cross multiply
    475,206.40x = 711,497.40 × 370,230.40
  4. Step 4: Simplify right side
    475,206.40x = 263,417,967,000.96
  5. Step 5: Solve for x
    x = 263,417,967,000.96/475,206.40
  6. Step 6: Final answer
    x = 554,323.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.