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Finding the Fourth Proportional to 473,224.95, 653,047.02 and 258,365.01

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Solution

The fourth proportional to 473,224.95, 653,047.02 and 258,365.01 is: 356,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,224.95 : 653,047.02 = 258,365.01 : x
  2. Step 2: Convert to fraction form
    473,224.95/653,047.02 = 258,365.01/x
  3. Step 3: Cross multiply
    473,224.95x = 653,047.02 × 258,365.01
  4. Step 4: Simplify right side
    473,224.95x = 168,724,502,301.70
  5. Step 5: Solve for x
    x = 168,724,502,301.70/473,224.95
  6. Step 6: Final answer
    x = 356,541.86

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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.