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Finding the Fourth Proportional to 380,465.16, 525,057.70 and 210,699.40

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Solution

The fourth proportional to 380,465.16, 525,057.70 and 210,699.40 is: 290,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,465.16 : 525,057.70 = 210,699.40 : x
  2. Step 2: Convert to fraction form
    380,465.16/525,057.70 = 210,699.40/x
  3. Step 3: Cross multiply
    380,465.16x = 525,057.70 × 210,699.40
  4. Step 4: Simplify right side
    380,465.16x = 110,629,342,355.38
  5. Step 5: Solve for x
    x = 110,629,342,355.38/380,465.16
  6. Step 6: Final answer
    x = 290,773.91

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1.5x scale

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.