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Finding the Fourth Proportional to 575,564.60, 863,411.70 and 176,202.20

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Solution

The fourth proportional to 575,564.60, 863,411.70 and 176,202.20 is: 264,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,564.60 : 863,411.70 = 176,202.20 : x
  2. Step 2: Convert to fraction form
    575,564.60/863,411.70 = 176,202.20/x
  3. Step 3: Cross multiply
    575,564.60x = 863,411.70 × 176,202.20
  4. Step 4: Simplify right side
    575,564.60x = 152,135,041,045.74
  5. Step 5: Solve for x
    x = 152,135,041,045.74/575,564.60
  6. Step 6: Final answer
    x = 264,323.14

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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.