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Finding the Fourth Proportional to 430,866.16, 646,594.53 and 150,383.41

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Solution

The fourth proportional to 430,866.16, 646,594.53 and 150,383.41 is: 225,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,866.16 : 646,594.53 = 150,383.41 : x
  2. Step 2: Convert to fraction form
    430,866.16/646,594.53 = 150,383.41/x
  3. Step 3: Cross multiply
    430,866.16x = 646,594.53 × 150,383.41
  4. Step 4: Simplify right side
    430,866.16x = 97,237,087,075.77
  5. Step 5: Solve for x
    x = 97,237,087,075.77/430,866.16
  6. Step 6: Final answer
    x = 225,678.17

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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.