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Finding the Fourth Proportional to 473,140.80, 708,544.80 and 314,510.40

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Solution

The fourth proportional to 473,140.80, 708,544.80 and 314,510.40 is: 470,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,140.80 : 708,544.80 = 314,510.40 : x
  2. Step 2: Convert to fraction form
    473,140.80/708,544.80 = 314,510.40/x
  3. Step 3: Cross multiply
    473,140.80x = 708,544.80 × 314,510.40
  4. Step 4: Simplify right side
    473,140.80x = 222,844,708,465.92
  5. Step 5: Solve for x
    x = 222,844,708,465.92/473,140.80
  6. Step 6: Final answer
    x = 470,990.26

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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.