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Finding the Fourth Proportional to 702,506.32, 969,465.81 and 380,223.32

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Solution

The fourth proportional to 702,506.32, 969,465.81 and 380,223.32 is: 524,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,506.32 : 969,465.81 = 380,223.32 : x
  2. Step 2: Convert to fraction form
    702,506.32/969,465.81 = 380,223.32/x
  3. Step 3: Cross multiply
    702,506.32x = 969,465.81 × 380,223.32
  4. Step 4: Simplify right side
    702,506.32x = 368,613,505,483.20
  5. Step 5: Solve for x
    x = 368,613,505,483.20/702,506.32
  6. Step 6: Final answer
    x = 524,712.02

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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.