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Finding the Fourth Proportional to 310,907.40, 429,047.52 and 174,941.52

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Solution

The fourth proportional to 310,907.40, 429,047.52 and 174,941.52 is: 241,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,907.40 : 429,047.52 = 174,941.52 : x
  2. Step 2: Convert to fraction form
    310,907.40/429,047.52 = 174,941.52/x
  3. Step 3: Cross multiply
    310,907.40x = 429,047.52 × 174,941.52
  4. Step 4: Simplify right side
    310,907.40x = 75,058,225,301.03
  5. Step 5: Solve for x
    x = 75,058,225,301.03/310,907.40
  6. Step 6: Final answer
    x = 241,416.66

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1.5x scale

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.