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Finding the Fourth Proportional to 472,646.70, 709,315.65 and 314,822.70

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Solution

The fourth proportional to 472,646.70, 709,315.65 and 314,822.70 is: 472,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,646.70 : 709,315.65 = 314,822.70 : x
  2. Step 2: Convert to fraction form
    472,646.70/709,315.65 = 314,822.70/x
  3. Step 3: Cross multiply
    472,646.70x = 709,315.65 × 314,822.70
  4. Step 4: Simplify right side
    472,646.70x = 223,308,668,085.26
  5. Step 5: Solve for x
    x = 223,308,668,085.26/472,646.70
  6. Step 6: Final answer
    x = 472,464.25

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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.