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Finding the Fourth Proportional to 520,962.24, 776,762 and 476,478.08

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Solution

The fourth proportional to 520,962.24, 776,762 and 476,478.08 is: 710,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,962.24 : 776,762 = 476,478.08 : x
  2. Step 2: Convert to fraction form
    520,962.24/776,762 = 476,478.08/x
  3. Step 3: Cross multiply
    520,962.24x = 776,762 × 476,478.08
  4. Step 4: Simplify right side
    520,962.24x = 370,110,066,376.96
  5. Step 5: Solve for x
    x = 370,110,066,376.96/520,962.24
  6. Step 6: Final answer
    x = 710,435.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.