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Finding the Fourth Proportional to 282,774.51, 424,050.12 and 114,263.01

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Solution

The fourth proportional to 282,774.51, 424,050.12 and 114,263.01 is: 171,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,774.51 : 424,050.12 = 114,263.01 : x
  2. Step 2: Convert to fraction form
    282,774.51/424,050.12 = 114,263.01/x
  3. Step 3: Cross multiply
    282,774.51x = 424,050.12 × 114,263.01
  4. Step 4: Simplify right side
    282,774.51x = 48,453,243,102.06
  5. Step 5: Solve for x
    x = 48,453,243,102.06/282,774.51
  6. Step 6: Final answer
    x = 171,349.40

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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.