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Finding the Fourth Proportional to 233,547.84, 319,961.70 and 224,801.10

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Solution

The fourth proportional to 233,547.84, 319,961.70 and 224,801.10 is: 307,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,547.84 : 319,961.70 = 224,801.10 : x
  2. Step 2: Convert to fraction form
    233,547.84/319,961.70 = 224,801.10/x
  3. Step 3: Cross multiply
    233,547.84x = 319,961.70 × 224,801.10
  4. Step 4: Simplify right side
    233,547.84x = 71,927,742,117.87
  5. Step 5: Solve for x
    x = 71,927,742,117.87/233,547.84
  6. Step 6: Final answer
    x = 307,978.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.