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Finding the Fourth Proportional to 477,019.16, 657,592.98 and 333,333.08

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Solution

The fourth proportional to 477,019.16, 657,592.98 and 333,333.08 is: 459,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,019.16 : 657,592.98 = 333,333.08 : x
  2. Step 2: Convert to fraction form
    477,019.16/657,592.98 = 333,333.08/x
  3. Step 3: Cross multiply
    477,019.16x = 657,592.98 × 333,333.08
  4. Step 4: Simplify right side
    477,019.16x = 219,197,493,409.78
  5. Step 5: Solve for x
    x = 219,197,493,409.78/477,019.16
  6. Step 6: Final answer
    x = 459,515.07

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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.