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Finding the Fourth Proportional to 277,547, 382,920.88 and 180,706.64

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Solution

The fourth proportional to 277,547, 382,920.88 and 180,706.64 is: 249,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,547 : 382,920.88 = 180,706.64 : x
  2. Step 2: Convert to fraction form
    277,547/382,920.88 = 180,706.64/x
  3. Step 3: Cross multiply
    277,547x = 382,920.88 × 180,706.64
  4. Step 4: Simplify right side
    277,547x = 69,196,345,610.64
  5. Step 5: Solve for x
    x = 69,196,345,610.64/277,547
  6. Step 6: Final answer
    x = 249,313.97

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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.