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Finding the Fourth Proportional to 570,072.89, 785,741.81 and 432,206.16

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Solution

The fourth proportional to 570,072.89, 785,741.81 and 432,206.16 is: 595,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,072.89 : 785,741.81 = 432,206.16 : x
  2. Step 2: Convert to fraction form
    570,072.89/785,741.81 = 432,206.16/x
  3. Step 3: Cross multiply
    570,072.89x = 785,741.81 × 432,206.16
  4. Step 4: Simplify right side
    570,072.89x = 339,602,450,451.55
  5. Step 5: Solve for x
    x = 339,602,450,451.55/570,072.89
  6. Step 6: Final answer
    x = 595,717.59

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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.