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Finding the Fourth Proportional to 368,541, 552,814.64 and 102,322.28

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Solution

The fourth proportional to 368,541, 552,814.64 and 102,322.28 is: 153,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,541 : 552,814.64 = 102,322.28 : x
  2. Step 2: Convert to fraction form
    368,541/552,814.64 = 102,322.28/x
  3. Step 3: Cross multiply
    368,541x = 552,814.64 × 102,322.28
  4. Step 4: Simplify right side
    368,541x = 56,565,254,382.18
  5. Step 5: Solve for x
    x = 56,565,254,382.18/368,541
  6. Step 6: Final answer
    x = 153,484.29

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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.