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Finding the Fourth Proportional to 461,975.40, 692,987.93 and 146,456.91

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Solution

The fourth proportional to 461,975.40, 692,987.93 and 146,456.91 is: 219,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,975.40 : 692,987.93 = 146,456.91 : x
  2. Step 2: Convert to fraction form
    461,975.40/692,987.93 = 146,456.91/x
  3. Step 3: Cross multiply
    461,975.40x = 692,987.93 × 146,456.91
  4. Step 4: Simplify right side
    461,975.40x = 101,492,870,895.10
  5. Step 5: Solve for x
    x = 101,492,870,895.10/461,975.40
  6. Step 6: Final answer
    x = 219,693.24

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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.