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Finding the Fourth Proportional to 438,047.80, 657,071.70 and 105,623.80

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Solution

The fourth proportional to 438,047.80, 657,071.70 and 105,623.80 is: 158,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,047.80 : 657,071.70 = 105,623.80 : x
  2. Step 2: Convert to fraction form
    438,047.80/657,071.70 = 105,623.80/x
  3. Step 3: Cross multiply
    438,047.80x = 657,071.70 × 105,623.80
  4. Step 4: Simplify right side
    438,047.80x = 69,402,409,826.46
  5. Step 5: Solve for x
    x = 69,402,409,826.46/438,047.80
  6. Step 6: Final answer
    x = 158,435.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.