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Finding the Fourth Proportional to 686,953, 947,995.14 and 400,485.16

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Solution

The fourth proportional to 686,953, 947,995.14 and 400,485.16 is: 552,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,953 : 947,995.14 = 400,485.16 : x
  2. Step 2: Convert to fraction form
    686,953/947,995.14 = 400,485.16/x
  3. Step 3: Cross multiply
    686,953x = 947,995.14 × 400,485.16
  4. Step 4: Simplify right side
    686,953x = 379,657,985,322.12
  5. Step 5: Solve for x
    x = 379,657,985,322.12/686,953
  6. Step 6: Final answer
    x = 552,669.52

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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.