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Finding the Fourth Proportional to 602,899.06, 831,970.14 and 357,894.29

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Solution

The fourth proportional to 602,899.06, 831,970.14 and 357,894.29 is: 493,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,899.06 : 831,970.14 = 357,894.29 : x
  2. Step 2: Convert to fraction form
    602,899.06/831,970.14 = 357,894.29/x
  3. Step 3: Cross multiply
    602,899.06x = 831,970.14 × 357,894.29
  4. Step 4: Simplify right side
    602,899.06x = 297,757,362,556.50
  5. Step 5: Solve for x
    x = 297,757,362,556.50/602,899.06
  6. Step 6: Final answer
    x = 493,875.98

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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.