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Finding the Fourth Proportional to 310,852.80, 466,970.40 and 299,102.40

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Solution

The fourth proportional to 310,852.80, 466,970.40 and 299,102.40 is: 449,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,852.80 : 466,970.40 = 299,102.40 : x
  2. Step 2: Convert to fraction form
    310,852.80/466,970.40 = 299,102.40/x
  3. Step 3: Cross multiply
    310,852.80x = 466,970.40 × 299,102.40
  4. Step 4: Simplify right side
    310,852.80x = 139,671,967,368.96
  5. Step 5: Solve for x
    x = 139,671,967,368.96/310,852.80
  6. Step 6: Final answer
    x = 449,318.67

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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.