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Finding the Fourth Proportional to 709,673.20, 1,064,509.80 and 457,730.80

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Solution

The fourth proportional to 709,673.20, 1,064,509.80 and 457,730.80 is: 686,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,673.20 : 1,064,509.80 = 457,730.80 : x
  2. Step 2: Convert to fraction form
    709,673.20/1,064,509.80 = 457,730.80/x
  3. Step 3: Cross multiply
    709,673.20x = 1,064,509.80 × 457,730.80
  4. Step 4: Simplify right side
    709,673.20x = 487,258,922,361.84
  5. Step 5: Solve for x
    x = 487,258,922,361.84/709,673.20
  6. Step 6: Final answer
    x = 686,596.20

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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.