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Finding the Fourth Proportional to 380,746.29, 525,429.86 and 210,980.42

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Solution

The fourth proportional to 380,746.29, 525,429.86 and 210,980.42 is: 291,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,746.29 : 525,429.86 = 210,980.42 : x
  2. Step 2: Convert to fraction form
    380,746.29/525,429.86 = 210,980.42/x
  3. Step 3: Cross multiply
    380,746.29x = 525,429.86 × 210,980.42
  4. Step 4: Simplify right side
    380,746.29x = 110,855,412,543.34
  5. Step 5: Solve for x
    x = 110,855,412,543.34/380,746.29
  6. Step 6: Final answer
    x = 291,152.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.