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Finding the Fourth Proportional to 365,465.80, 502,404.05 and 314,291.08

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Solution

The fourth proportional to 365,465.80, 502,404.05 and 314,291.08 is: 432,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,465.80 : 502,404.05 = 314,291.08 : x
  2. Step 2: Convert to fraction form
    365,465.80/502,404.05 = 314,291.08/x
  3. Step 3: Cross multiply
    365,465.80x = 502,404.05 × 314,291.08
  4. Step 4: Simplify right side
    365,465.80x = 157,901,111,470.87
  5. Step 5: Solve for x
    x = 157,901,111,470.87/365,465.80
  6. Step 6: Final answer
    x = 432,054.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.