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Finding the Fourth Proportional to 525,102.10, 788,603.55 and 459,783.70

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Solution

The fourth proportional to 525,102.10, 788,603.55 and 459,783.70 is: 690,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,102.10 : 788,603.55 = 459,783.70 : x
  2. Step 2: Convert to fraction form
    525,102.10/788,603.55 = 459,783.70/x
  3. Step 3: Cross multiply
    525,102.10x = 788,603.55 × 459,783.70
  4. Step 4: Simplify right side
    525,102.10x = 362,587,058,052.14
  5. Step 5: Solve for x
    x = 362,587,058,052.14/525,102.10
  6. Step 6: Final answer
    x = 690,507.73

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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.