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Finding the Fourth Proportional to 575,894.95, 863,141.90 and 407,463.84

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Solution

The fourth proportional to 575,894.95, 863,141.90 and 407,463.84 is: 610,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,894.95 : 863,141.90 = 407,463.84 : x
  2. Step 2: Convert to fraction form
    575,894.95/863,141.90 = 407,463.84/x
  3. Step 3: Cross multiply
    575,894.95x = 863,141.90 × 407,463.84
  4. Step 4: Simplify right side
    575,894.95x = 351,699,111,001.58
  5. Step 5: Solve for x
    x = 351,699,111,001.58/575,894.95
  6. Step 6: Final answer
    x = 610,700.12

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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.