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Finding the Fourth Proportional to 291,461.02, 402,210.15 and 162,398.98

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Solution

The fourth proportional to 291,461.02, 402,210.15 and 162,398.98 is: 224,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,461.02 : 402,210.15 = 162,398.98 : x
  2. Step 2: Convert to fraction form
    291,461.02/402,210.15 = 162,398.98/x
  3. Step 3: Cross multiply
    291,461.02x = 402,210.15 × 162,398.98
  4. Step 4: Simplify right side
    291,461.02x = 65,318,516,094.60
  5. Step 5: Solve for x
    x = 65,318,516,094.60/291,461.02
  6. Step 6: Final answer
    x = 224,107.21

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1.5x scale

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.