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Finding the Fourth Proportional to 458,730, 633,047.40 and 257,526

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Solution

The fourth proportional to 458,730, 633,047.40 and 257,526 is: 355,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,730 : 633,047.40 = 257,526 : x
  2. Step 2: Convert to fraction form
    458,730/633,047.40 = 257,526/x
  3. Step 3: Cross multiply
    458,730x = 633,047.40 × 257,526
  4. Step 4: Simplify right side
    458,730x = 163,026,164,732.40
  5. Step 5: Solve for x
    x = 163,026,164,732.40/458,730
  6. Step 6: Final answer
    x = 355,385.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.