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Finding the Fourth Proportional to 520,054.80, 780,665.40 and 402,248.40

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Solution

The fourth proportional to 520,054.80, 780,665.40 and 402,248.40 is: 603,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,054.80 : 780,665.40 = 402,248.40 : x
  2. Step 2: Convert to fraction form
    520,054.80/780,665.40 = 402,248.40/x
  3. Step 3: Cross multiply
    520,054.80x = 780,665.40 × 402,248.40
  4. Step 4: Simplify right side
    520,054.80x = 314,021,408,085.36
  5. Step 5: Solve for x
    x = 314,021,408,085.36/520,054.80
  6. Step 6: Final answer
    x = 603,823.69

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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.