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Finding the Fourth Proportional to 476,088, 657,001.44 and 264,120

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Solution

The fourth proportional to 476,088, 657,001.44 and 264,120 is: 364,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,088 : 657,001.44 = 264,120 : x
  2. Step 2: Convert to fraction form
    476,088/657,001.44 = 264,120/x
  3. Step 3: Cross multiply
    476,088x = 657,001.44 × 264,120
  4. Step 4: Simplify right side
    476,088x = 173,527,220,332.80
  5. Step 5: Solve for x
    x = 173,527,220,332.80/476,088
  6. Step 6: Final answer
    x = 364,485.60

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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.