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Finding the Fourth Proportional to 282,307.20, 423,460.80 and 260,437.20

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Solution

The fourth proportional to 282,307.20, 423,460.80 and 260,437.20 is: 390,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,307.20 : 423,460.80 = 260,437.20 : x
  2. Step 2: Convert to fraction form
    282,307.20/423,460.80 = 260,437.20/x
  3. Step 3: Cross multiply
    282,307.20x = 423,460.80 × 260,437.20
  4. Step 4: Simplify right side
    282,307.20x = 110,284,945,061.76
  5. Step 5: Solve for x
    x = 110,284,945,061.76/282,307.20
  6. Step 6: Final answer
    x = 390,655.80

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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.