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Finding the Fourth Proportional to 705,547.44, 973,797.18 and 419,012.16

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Solution

The fourth proportional to 705,547.44, 973,797.18 and 419,012.16 is: 578,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,547.44 : 973,797.18 = 419,012.16 : x
  2. Step 2: Convert to fraction form
    705,547.44/973,797.18 = 419,012.16/x
  3. Step 3: Cross multiply
    705,547.44x = 973,797.18 × 419,012.16
  4. Step 4: Simplify right side
    705,547.44x = 408,032,859,793.71
  5. Step 5: Solve for x
    x = 408,032,859,793.71/705,547.44
  6. Step 6: Final answer
    x = 578,320.94

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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.