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Finding the Fourth Proportional to 473,598.69, 653,685.35 and 304,128.06

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Solution

The fourth proportional to 473,598.69, 653,685.35 and 304,128.06 is: 419,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,598.69 : 653,685.35 = 304,128.06 : x
  2. Step 2: Convert to fraction form
    473,598.69/653,685.35 = 304,128.06/x
  3. Step 3: Cross multiply
    473,598.69x = 653,685.35 × 304,128.06
  4. Step 4: Simplify right side
    473,598.69x = 198,804,057,345.92
  5. Step 5: Solve for x
    x = 198,804,057,345.92/473,598.69
  6. Step 6: Final answer
    x = 419,773.24

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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.