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Finding the Fourth Proportional to 450,172.94, 674,509.75 and 316,772.93

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Solution

The fourth proportional to 450,172.94, 674,509.75 and 316,772.93 is: 474,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,172.94 : 674,509.75 = 316,772.93 : x
  2. Step 2: Convert to fraction form
    450,172.94/674,509.75 = 316,772.93/x
  3. Step 3: Cross multiply
    450,172.94x = 674,509.75 × 316,772.93
  4. Step 4: Simplify right side
    450,172.94x = 213,666,430,715.41
  5. Step 5: Solve for x
    x = 213,666,430,715.41/450,172.94
  6. Step 6: Final answer
    x = 474,631.89

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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.