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Finding the Fourth Proportional to 470,750.79, 649,666.27 and 264,038.59

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Solution

The fourth proportional to 470,750.79, 649,666.27 and 264,038.59 is: 364,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,750.79 : 649,666.27 = 264,038.59 : x
  2. Step 2: Convert to fraction form
    470,750.79/649,666.27 = 264,038.59/x
  3. Step 3: Cross multiply
    470,750.79x = 649,666.27 × 264,038.59
  4. Step 4: Simplify right side
    470,750.79x = 171,536,965,901.36
  5. Step 5: Solve for x
    x = 171,536,965,901.36/470,750.79
  6. Step 6: Final answer
    x = 364,390.18

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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.