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Finding the Fourth Proportional to 473,825.64, 653,503.17 and 357,925.83

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Solution

The fourth proportional to 473,825.64, 653,503.17 and 357,925.83 is: 493,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,825.64 : 653,503.17 = 357,925.83 : x
  2. Step 2: Convert to fraction form
    473,825.64/653,503.17 = 357,925.83/x
  3. Step 3: Cross multiply
    473,825.64x = 653,503.17 × 357,925.83
  4. Step 4: Simplify right side
    473,825.64x = 233,905,664,529.88
  5. Step 5: Solve for x
    x = 233,905,664,529.88/473,825.64
  6. Step 6: Final answer
    x = 493,653.46

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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.