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Finding the Fourth Proportional to 297,811.34, 410,989.55 and 175,281.51

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Solution

The fourth proportional to 297,811.34, 410,989.55 and 175,281.51 is: 241,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,811.34 : 410,989.55 = 175,281.51 : x
  2. Step 2: Convert to fraction form
    297,811.34/410,989.55 = 175,281.51/x
  3. Step 3: Cross multiply
    297,811.34x = 410,989.55 × 175,281.51
  4. Step 4: Simplify right side
    297,811.34x = 72,038,868,041.81
  5. Step 5: Solve for x
    x = 72,038,868,041.81/297,811.34
  6. Step 6: Final answer
    x = 241,894.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.