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Finding the Fourth Proportional to 517,776, 714,548.16 and 316,533.12

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Solution

The fourth proportional to 517,776, 714,548.16 and 316,533.12 is: 436,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,776 : 714,548.16 = 316,533.12 : x
  2. Step 2: Convert to fraction form
    517,776/714,548.16 = 316,533.12/x
  3. Step 3: Cross multiply
    517,776x = 714,548.16 × 316,533.12
  4. Step 4: Simplify right side
    517,776x = 226,178,158,475.06
  5. Step 5: Solve for x
    x = 226,178,158,475.06/517,776
  6. Step 6: Final answer
    x = 436,826.27

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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.