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Finding the Fourth Proportional to 520,126.40, 778,877.40 and 415,150.40

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Solution

The fourth proportional to 520,126.40, 778,877.40 and 415,150.40 is: 621,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,126.40 : 778,877.40 = 415,150.40 : x
  2. Step 2: Convert to fraction form
    520,126.40/778,877.40 = 415,150.40/x
  3. Step 3: Cross multiply
    520,126.40x = 778,877.40 × 415,150.40
  4. Step 4: Simplify right side
    520,126.40x = 323,351,264,160.96
  5. Step 5: Solve for x
    x = 323,351,264,160.96/520,126.40
  6. Step 6: Final answer
    x = 621,678.24

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1.5x scale

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.