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Finding the Fourth Proportional to 564,509.49, 778,668.76 and 334,904.22

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Solution

The fourth proportional to 564,509.49, 778,668.76 and 334,904.22 is: 461,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,509.49 : 778,668.76 = 334,904.22 : x
  2. Step 2: Convert to fraction form
    564,509.49/778,668.76 = 334,904.22/x
  3. Step 3: Cross multiply
    564,509.49x = 778,668.76 × 334,904.22
  4. Step 4: Simplify right side
    564,509.49x = 260,779,454,354.42
  5. Step 5: Solve for x
    x = 260,779,454,354.42/564,509.49
  6. Step 6: Final answer
    x = 461,957.61

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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.