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Finding the Fourth Proportional to 477,533.80, 716,300.70 and 353,117.80

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Solution

The fourth proportional to 477,533.80, 716,300.70 and 353,117.80 is: 529,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,533.80 : 716,300.70 = 353,117.80 : x
  2. Step 2: Convert to fraction form
    477,533.80/716,300.70 = 353,117.80/x
  3. Step 3: Cross multiply
    477,533.80x = 716,300.70 × 353,117.80
  4. Step 4: Simplify right side
    477,533.80x = 252,938,527,322.46
  5. Step 5: Solve for x
    x = 252,938,527,322.46/477,533.80
  6. Step 6: Final answer
    x = 529,676.70

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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.