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Finding the Fourth Proportional to 461,816.80, 692,746.80 and 146,298.40

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Solution

The fourth proportional to 461,816.80, 692,746.80 and 146,298.40 is: 219,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,816.80 : 692,746.80 = 146,298.40 : x
  2. Step 2: Convert to fraction form
    461,816.80/692,746.80 = 146,298.40/x
  3. Step 3: Cross multiply
    461,816.80x = 692,746.80 × 146,298.40
  4. Step 4: Simplify right side
    461,816.80x = 101,347,748,445.12
  5. Step 5: Solve for x
    x = 101,347,748,445.12/461,816.80
  6. Step 6: Final answer
    x = 219,454.44

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1.5x scale

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.