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Finding the Fourth Proportional to 310,013.40, 465,020.10 and 152,549.40

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Solution

The fourth proportional to 310,013.40, 465,020.10 and 152,549.40 is: 228,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,013.40 : 465,020.10 = 152,549.40 : x
  2. Step 2: Convert to fraction form
    310,013.40/465,020.10 = 152,549.40/x
  3. Step 3: Cross multiply
    310,013.40x = 465,020.10 × 152,549.40
  4. Step 4: Simplify right side
    310,013.40x = 70,938,537,242.94
  5. Step 5: Solve for x
    x = 70,938,537,242.94/310,013.40
  6. Step 6: Final answer
    x = 228,824.10

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1.5x scale

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.