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Finding the Fourth Proportional to 473,897.16, 653,978.04 and 259,038.08

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Solution

The fourth proportional to 473,897.16, 653,978.04 and 259,038.08 is: 357,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,897.16 : 653,978.04 = 259,038.08 : x
  2. Step 2: Convert to fraction form
    473,897.16/653,978.04 = 259,038.08/x
  3. Step 3: Cross multiply
    473,897.16x = 653,978.04 × 259,038.08
  4. Step 4: Simplify right side
    473,897.16x = 169,405,214,054.90
  5. Step 5: Solve for x
    x = 169,405,214,054.90/473,897.16
  6. Step 6: Final answer
    x = 357,472.52

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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.